Help!- Writing equation for lines

Question

find the equation of the line with -2 that contains the (-4,3). Write the answer in slope intercept form . How do you find the "b" in the y=mx+b equation?

Answer 1

To solve this sort of equation, we use point-slope form, and from there we can convert it to slope-intercept form:

y - y₁ = m(x - x₁)

We have our m as -2, and we have out point, (-4, 3), so we put those into the formula:

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

y - 3 = -2(x + 4)

y - 3 = -2x - 8

y = -2x - 5

 

Let's check by putting in our point to see if it works:

3 = -2(-4) - 5

3 = 8 - 5

3 = 3