Lesson Worksheet: Equation of a Straight Line: Standard and Point–Slope Forms Mathematics • 9th Grade

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 (2,3).

  • A𝑦+3=4(𝑥2)
  • B𝑦3=4𝑥+2
  • C𝑦+3=4𝑥2
  • D𝑦3=4(𝑥2)
  • E𝑦+3=4(𝑥+2)

Q2:

Write the equation represented by the graph shown. Give your answer in the form 𝑦𝑎=𝑚(𝑥𝑏).

  • A𝑦+2=12(𝑥6)
  • B𝑦6=2(𝑥+2)
  • C𝑦6=12(𝑥+2)
  • D𝑦6=12(𝑥+2)
  • E𝑦+2=2(𝑥6)

Q3:

Find, in point-slope form, the equation of the line with slope 27 that passes through the point 𝐴(1,10).

  • A𝑦+10=27(𝑥1)
  • B𝑦10=27(𝑥+1)
  • C𝑦10=27(𝑥+1)
  • D𝑦+10=27(𝑥1)
  • E𝑦+10=27(𝑥+1)

Q4:

Find, in point-slope form, the equation of the graph with slope 2 that passes through the point (1, 6).

  • A𝑦6=2𝑥1
  • B𝑦6=2(𝑥1)
  • C𝑦6=2(𝑥1)
  • D𝑦6=2𝑥1
  • E𝑦+6=2(𝑥1)

Q5:

Write the equation represented by the graph shown. Give your answer in the form 𝑦𝑎=𝑚(𝑥𝑏).

  • A𝑦2=13(𝑥5)
  • B𝑦5=3(𝑥2)
  • C𝑦5=3(𝑥2)
  • D𝑦5=13(𝑥2)
  • E𝑦2=3(𝑥5)

Q6:

Write the equation represented by the graph shown. Give your answer in the form 𝑦𝑎=𝑚(𝑥𝑏).

  • A𝑦1=43(𝑥3)
  • B𝑦3=43(𝑥1)
  • C𝑦1=34(𝑥3)
  • D𝑦1=43(𝑥3)
  • E𝑦3=34(𝑥1)

Q7:

Which of the following graphs represents the equation 𝑦+1=2(𝑥4)?

  • A
  • B
  • C
  • D
  • E

Q8:

Which of the following graphs represents the equation 𝑦2=4(𝑥1)?

  • A
  • B
  • C
  • D
  • E

Q9:

Which of the following graphs represents the equation 𝑦5=23(𝑥3)?

  • A
  • B
  • C
  • D
  • E

Q10:

The points in the table belong to the same line. Find the coordinates of the 𝑥-intercept and 𝑦-intercept.

𝑥7142128
𝑦7121722
  • A𝑥-intercept coordinate: 145,0, 𝑦-intercept coordinate: (0,2)
  • B𝑥-intercept coordinate: 145,0, 𝑦-intercept coordinate: (0,2)
  • C𝑥-intercept coordinate: 514,0, 𝑦-intercept coordinate: (0,2)
  • D𝑥-intercept coordinate: 0,145, 𝑦-intercept coordinate: (2,0)
  • E𝑥-intercept coordinate: 0,145, 𝑦-intercept coordinate: (2,0)

Practice Means Progress

Download the Nagwa Practice app to access 14 additional questions for this lesson!

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.