# Finding Linear Equations from Slope and a Point (Grade 9)

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## Finding Linear Equations from Slope and a Point

1.

What is the equation of the line that has a slope of 4 and passes through the point (3, -10)?

- y = 4x - 22
- y = 4x + 22
- y = 4x - 43
- y = 4x + 43

2.

What is the equation of a line with a slope of 5 and a y-intercept of 6?

- y = 6x + 5
- y = x + 5
- y = 5x + 6
- y = 5 + 6

3.

Which is the equation of the line that passes through (2, 6) with a slope of 2?

- [math]y=2x+3[/math]
- [math]y=3x+2[/math]
- [math]y=2x+6[/math]
- [math]y=2x+2[/math]

4.

Which equation of a line in slope-intercept form passes through (-5, 2) and has a slope of 3?

- [math]y=3x-2[/math]
- [math]y=3x+5[/math]
- [math]y=3x-13[/math]
- [math]y=3x+17[/math]

5.

Write an equation in point-slope form for the line that passes through the given point with the slope provided.

[math](-7,-8), \ \ \ m=-3/7[/math]

[math](-7,-8), \ \ \ m=-3/7[/math]

- [math]y-8=-3/7(x-7)[/math]
- [math]y+8=3/7(x+7)[/math]
- [math]y-8=-7/3(x+1)[/math]
- [math]y+8=-3/7(x+7)[/math]

6.

What is the equation of the line that has a slope of [math]-1/2[/math] and passes through point [math](-2,4)[/math]?

- [math]y=2x+3[/math]
- [math]y=1/2x+3[/math]
- [math]y=-1/2x+3[/math]
- [math]y=-2x+3[/math]

7.

Which is the equation of the line that passes through (-3,19) with a slope of -7?

- [math]y=7x-3[/math]
- [math]y=-3x+19[/math]
- [math]y=-7x-2[/math]
- [math]y=2x+7[/math]

8.

Which equation represents a line whose slope is -6 and whose y-intercept is 9?

- [math]y=-9x - 6[/math]
- [math]y=9x - 6[/math]
- [math]y=-6x - 9[/math]
- [math]y=6x - 9[/math]
- [math]y=-6x + 9[/math]

9.

Write an equation in slope-intercept form for a line that passes through the point (6, -2) and has a slope of [math]-2/3[/math].

- [math]y = 2/3 x - 2[/math]
- [math]3x + 2y = 6[/math]
- [math]y = -2/3 x + 2[/math]
- Not enough information

10.

Which is an equation in point-slope form of the line with slope -2.45 and containing the point (4, -2)?

- [math]y -2 = 2.45 (x -4)[/math]
- [math]y = -2.45x -2 [/math]
- [math]y = 2.45x +4[/math]
- [math]y + 2 = -2.45 (x - 4)[/math]

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