Algebra 1 y=mx+b equation

Question

(-4, 6); slope = -3/4 in y=mx+b equation style and rough answer needed

Answer 1

You have the point (-4,6) and you are given the slope, -3/4. To put it into y=mx+b form, first plug everything in and solve for b.

y=6

x= -4

m= -3/4

b = ?

First, plug everything into the equation

6 = (-3/4) * -4 + b

Simplify the middle, the two negatives cancel out.

(-3/4) * -4 = 3

6 = 3 + b

6 -3 = b

b= 3

Now that you know all the elements, write the general equation plugging in b.

y= (-3/4)x + 3

Answer 2

You are given slope and a point. Use point-slope form

y - 6 = (-3/4)(x + 4)

Expand and convert to slope-intercept form.