Question

Write an equation of the horizontal line through the point (7 , -5).

Write an equation, in the slope intercept form, of the line with slope -2 and passing through the point (-4 , -5).

Answer 1

Equation of the horizontal line through (7 , -5)

Horizontal line is a slope of 0, so y=constant.

Answer: y = -5

Slope -2 through (-4 , -5)

Point slope form of line slope m thru (a,b) is y-b = m(x-a)

y - -5 = -2 (x - -4)

y + 5 = -2x - 8

Answer: y = -2x - 13

check: slope is right, -2(-4) - 13 = 8 - 13 = -5, good