# Worksheet: Equation of a Straight Line: Standard and Point–Slope Forms

In this worksheet, we will practice finding the equation of a line in standard and point–slope forms given two points, a slope and a point, or a graph.

Q1:

Find, in point-slope form, the equation of the graph with slope 4 that passes through the point .

• A
• B
• C
• D
• E

Q2:

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

Q3:

Find, in point-slope form, the equation of the line with slope that passes through the point .

• A
• B
• C
• D
• E

Q4:

Find, in point-slope form, the equation of the graph with slope that passes through the point (1, 6).

• A
• B
• C
• D
• E

Q5:

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

Q6:

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

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:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q10:

The points in the table belong to the same line. Find the coordinates of the - and -intercepts.

 𝑥 𝑦 7 14 21 28 −7 −12 −17 −22
• A-intercept coordinate: , -intercept coordinate:
• B-intercept coordinate: , -intercept coordinate:
• C-intercept coordinate: , -intercept coordinate:
• D-intercept coordinate: , -intercept coordinate:
• E-intercept coordinate: , -intercept coordinate:

Q11:

What are the coordinates of the - and -intercepts of this line? • A-intercept at , -intercept at
• B-intercept at , -intercept at
• C-intercept at , -intercept at
• D-intercept at , -intercept at

Q12:

What is the equation of the line with -intercept and -intercept 4?

• A
• B
• C
• D
• E

Q13:

Determine the equation of the straight line given in the diagram. • A
• B
• C
• D

Q14:

Which of the following graphs represents the equation ?

• A • B • C • D • E Q15:

Which of the following graphs represents the equation ?

• A • B • C • D Q16:

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

Q17:

Find the coordinates of the -intercept and the slope of the straight line whose equation is .

• A,
• B,
• C,
• D,
• E,

Q18:

The graph of the equation is a straight line.

What is the slope of the line?

Which one of the following points lies on the line?

• A
• B
• C
• D
• E

Q19:

Which of the following equations represents a straight line?

• A
• B
• C
• D

Q20:

Does the equation represent a straight line?

• Ayes
• Bno

Q21:

Given that the line intersects the -axis at the point , find the values of and .

• A,
• B,
• C,
• D,

Q22:

Which of the following equations represents a line through the origin?

• A
• B
• C
• D