Question

Write an equation in point-slope form for the line with the given slope that contains the point. Then convert to slope-intercept form

1) m=-1/4; (-12, 5)
2) m=3 (0, -6)

Answer 1

Answer: y = 3x - 6

Explanation:

Using point-slope form:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is the given point.

Substituting the values, we get:

y - 5 = (-1/4)(x - (-12))

Simplifying:

y - 5 = (-1/4)x - 3

y = (-1/4)x + 2 (slope-intercept form)

Using point-slope form:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is the given point.

Substituting the values, we get:

y - (-6) = 3(x - 0)

Simplifying:

y + 6 = 3x

y = 3x - 6 (slope-intercept form)