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Mathematics LibreTexts

1.3E: Exercises - Determining the Equation of a Line

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PROBLEM SET: DETERMINING THE EQUATION OF A LINE

Write an equation of the line satisfying the following conditions.
Write the equation in the form y = mx + b.

1) It passes through the point (3, 10) and has
slope = 2.

2) It passes through point (4,5) and has m = 0.

3) It passes through (3, 5) and (2, - 1).

4) It has slope 3, and its y-intercept equals 2.

5) It passes through (5, - 2) and m = 2/5.

6) It passes through (- 5, - 3) and (10, 0).

7) It passes through (4, - 4) and (5, 3).

8) It passes through (7, - 2) ; its y-intercept is 5.

9) It passes through (2, - 5) and its x-intercept
is 4.

10) Its a horizontal line through the point (2, - 1).

 

Write an equation of the line satisfying the following conditions.
Write the equation in the form y = mx + b.

11) It passes through (5, - 4) and (1, - 4).

12) It is a vertical line through the point (3, - 2).

13) It passes through (3, - 4) and (3, 4).

14) It has x-intercept = 3 and y-intercept = 4.

Write an equation of the line satisfying the following conditions.
Write the equation in the form Ax + By = C.

15) It passes through (3, - 1) and m = 2.

16) It passes through (- 2, 1) and m = - 3/2.

17) It passes through (- 4, - 2) and m = 3/4.

18) Its x-intercept equals 3, and m = - 5/3.

 

Write an equation of the line satisfying the following conditions.
Write the equation in the form Ax + By = C.

19) It passes through (2, - 3) and (5, 1).

20) It passes through (1, - 3) and (- 5, 5).

Write an equation of the line satisfying the following conditions.
Write the equation in point slope form y-y1 = m (x-x1)

21) It passes through (2, - 3) and (5, 1).

22) It passes through (1, - 3) and (- 5, 2).

23) It passes through (6, -2) and (0, 2).

24) It passes through (8, 2) and (-7, -4).

25) It passes through (-12, 7) and has slope = -1/3.

26) It passes through (8, - 7) and has slope 3/4.


1.3E: Exercises - Determining the Equation of a Line is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by LibreTexts.

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