fine the slope intercept

Question

fine the slope intercept that passes through (-2,3) and slope -3/4

Answer 1

We start off by using the point-slope formula and put our point into it. We then can convert that into slope-intercept form:

y - y₁ = m(x - x₁)

y - 3 = -3/4(x - -2)

y - 3 = -3/4(x + 2)

 

y - 3 = ^-3/₄x  2 * ^-3/₄

y - 3 = ^-3/₄x  - ³/₂

 

y = ^-3/₄x - ³/₂ + 3

y = ^-3/₄x - ³/₂ + ⁶/₂

y = ^-3/₄x + ³/₂

 

You question does not clarify if you're looking for where it crosses the y-axis, but that would just be the b in the slope-intercept form.