# Lesson Worksheet: Equation of a Straight Line: Slope–Intercept Form Mathematics • 8th Grade

In this worksheet, we will practice finding the equation of a straight line in slope–intercept form given particular information, including its slope, its y-intercept, points on it, or its graph.

Q1:

Which equation represents the line shown? • A
• B
• C
• D
• E

Q2:

Find the equation of the straight line represented by the graph below in the form of . • A
• B
• C
• D
• E

Q3:

Find the equation of the line with -intercept 3 and -intercept 7, and calculate the area of the triangle on this line and the two coordinate axes.

• A, area of triangle = 10.5 square units
• B, area of triangle = 21 square units
• C, area of triangle = 10.5 square units
• D, area of triangle = 21 square units

Q4:

Write the equation represented by the graph shown. Give your answer in the form . • A
• B
• C
• D
• E

Q5:

Determine, in slope-intercept form, the equation of the line which has a slope of 8 and a -intercept of .

• A
• B
• C
• D
• E

Q6:

Find the coordinates of the point where intersects the -axis.

• A
• B
• C
• D

Q7:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q8:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q9:

Find the equation, in the form , of the line with slope and -intercept .

• A
• B
• C
• D

Q10:

Does the point lie on the line ?

• AYes
• BNo

Q11:

Does the point lie on the line ?

• AYes
• BNo

Q12:

Does the point lie on the line ?

• ANo
• BYes

Q13:

What is the slope of the line that passes through the point and intercepts at ?

Q14:

The points in this table lie on a line. Find the equation of the line in slope-intercept form.

 𝑥 𝑦 5 10 15 20 −8 −15 −22 −29
• A
• B
• C
• D
• E

Q15:

Which of the following is the Cartesian equation of the line through with slope ?

• A
• B
• C
• D
• E

Q16:

Determine the equation of the line passing through and in slope-intercept form.

• A
• B
• C
• D
• E

Q17:

A line has a slope of and passes through the point . Work out the equation of the line, giving your answer in the form .

• A
• B
• C
• D
• E

Q18:

Write the equation represented by the graph shown. Give your answer in the form . • A
• B
• C
• D
• E

Q19:

Write the equation represented by the graph shown. Give your answer in the form . • A
• B
• C
• D
• E

Q20:

A line has a slope of 3 and passes through the point . Work out the equation of the line, giving your answer in the form .

• A
• B
• C
• D
• E

Q21:

Find, in slope-intercept form, the equation of the graph with -intercept and slope 7.

• A
• B
• C
• D
• E

Q22:

A line passes through the points and . Work out the equation of the line, giving your answer in the form .

• A
• B
• C
• D
• E

Q23:

A line passes through the points and . Work out the equation of the line, giving your answer in the form .

• A
• B
• C
• D
• E

Q24:

Write the equation represented by the graph shown. Give your answer in the form . • A
• B
• C
• D
• E

Q25:

Write the equation of the line passing through and .

• A
• B
• C
• D
• E