Equation of a line worksheet answer key

Practice the questions given in the worksheet on equation of a straight line.

1. Determine the equation of the straight line whose gradient is  and which intersects the y-axis at a distance of 4 units from the origin.

2. Find the value of k, given that the line \(\frac{y}{2}\) = x – k passes through the point (-4, 4)

3. Find the equation of the straight line which makes an angle 450 with the positive direction of x-axis and intersects the x-axis at a distance of (-3) units from the origin.

4. If the line \(\frac{y}{2}\) = 3x - 6 passes through the point (p, 2p), find the value of p.

5. Determine the equation of the straight line whose inclination is 60° and which passes through the point (3, 4).

6. Find the point midway between the point (-1, 3) and the point intersection of the lines 4x + y - 10= 0 and 2x + 3y - 8 = 0.

7. Find the equation of the straight line which cuts off an intercept (- 4) from the x-axis and passes through the point (2, - 1).

8.  If the slope of the line joining the points (2k, - 2) and (1, - k) be (- 2), find k.

9.  Find the co-ordinates of the point on the line 7x - 6y = 20 for which the ordinate is double the abscissa.

10. A straight line passes through the point (2, 3) and is such that the sum of its intercepts on the coordinate axes is 10. Find the equation of the straight line.

11. Prove that the line lines x - 2 = 0, x + 1 = 0, y = 0 and y - 3 = 0 form a square. Find the equations of its diagonals.

Answers for the worksheet on on equation of a straight line are given below:

Answers:

1. 3x + 2y = 8

2. k = -6

3. x - y + 3 = 0

4. p = 3

5. y - 4 = √3(x - 3)

6. (\(\frac{3}{5}\), \(\frac{21}{0}\))

7. x + 6y + 4 = 0                 

8. k = \(\frac{4}{5}\)

9.  (- 4, - 8)

10. 3x + 2y = 12 or x + y = 5

11. x + y - 2 = 0 and x - y + 1 = 0

● Equation of a Straight Line

• Inclination of a Line
• Slope of a Line
• Intercepts Made by a Straight Line on Axes
• Slope of the Line Joining Two Points
• Equation of a Straight Line
• Point-slope Form of a Line
• Two-point Form of a Line
• Equally Inclined Lines
• Slope and Y-intercept of a Line
• Condition of Perpendicularity of Two Straight Lines
• Condition of parallelism
• Problems on Condition of Perpendicularity
• Worksheet on Slope and Intercepts
• Worksheet on Slope Intercept Form
• Worksheet on Two-point Form
• Worksheet on Point-slope Form
• Worksheet on Collinearity of 3 Points
• Worksheet on Equation of a Straight Line

10th Grade Math

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This set of equation of lines worksheets, with its wide-ranging exercises, spares you the embarrassment of going from pillar to post in search of a particular worksheet. The printable worksheets walk you through important forms like slope-intercept form, standard form, two-point form, point-slope form, and two-intercept form. Also, there are a handful of free worksheets on finding the slope and y-intercept and graphing linear equations as well.

The linear equation worksheets are ideal for grade 7, grade 8 and high-school students.

CCSS: 7.EE, 8.EE

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Equation in slope-intercept form

Replete with exercises for students to practice writing linear equations in slope-intercept form, forming an equation when the slope and y-intercept of a line are given, and identifying the slope and y-intercept of an equation from the graph, this set of worksheets is a compulsive print.

Express linear equation in standard form

This assortment of standard form worksheets helps students to convert linear equations into standard form. Children can download, print and practice these printable worksheets to ace their performance in algebra.

Writing equation using a point and slope

Gain ample practice in writing an equation of the line when the slope and the point passing through the line are given. Hone your skills in converting each given equation into the point-slope form.

Equation of a line passing through two points

Give children lots of guided practice to find the equation of the line passing through two points with this collection of pdf worksheets. Plug-in the points of the line in the two-point form and simplify it to obtain the equation.

Equation of a line passing through intercepts

This extensive set of two-intercept form worksheets has all the help and support you need to express the equation of a line in two-intercept form, find the x-intercept and y-intercept of a line, write the equation when the x and y-intercepts are given and more.

Equations of Horizontal and Vertical Lines

Can you write the equation of a line looking at its graph? Use this bunch of pdf worksheets that presents graphs of horizontal and vertical lines to practice writing the equations using the point where the line cuts the x- or y-axis.

Graphing Linear Equation Worksheets

Access this blend of free graphing linear equation worksheets to find the y-values in a T-chart, find the missing values on the table, graph linear equations using the slope-intercept form, and graph using horizontal and vertical lines.