Write an equation in slope-intercept form given the information about each line. 10. slope = 4, goes through the point (3, 10)

y = 4x + (-2)

Step-by-step explanation:

We know that the slope is 4 so it must be be the m in the y = mx +b equation. To find the the b in the equation we need to find what y is when x = 0. We know that the rate of increase is 4 so if we do 3(4) we get 12 and we can subtract it from our current y value. 10 -12 = -2

y = 4x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 , then

y = 4x + c ← is the partial equation

To find c substitute (3, 10) into the partial equation

10 = 12 + c ⇒ c = 10 - 12 = - 2

y = 4x - 2 ← equation of line