Question

A line contains the point (–3, 4). If the slope of the line is -3/4 write the equation of the line using slope-intercept form.

Answer 1

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

Explanation:

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

y-4 = -3/4(x+3)

y = (-3/4)x - (9/4)+(4)

y = (-3/4)x - (9/4)+(16/4)

y = -3x/4 +7/4

Answer 2

Starting out with point slope form we have:
y-4 = -3/4(x--3)
y-4 = -3/4(x+3)
y = (-3/4)x - (9/4)+(4)
y = (-3/4)x - (9/4)+(16/4)
y = -3x/4 +7/4 (slope intercept form)