Write an equation in slope-intercept form of the line shown.

y = 3/4x - 2

Step-by-step explanation:

slope intercept form: y = mx + b

y-intercept(when x= 0) is given by b

slope is given by m

lets find the slope using the two given points, (4,1) and (8,4)

m = y2-y1 / x2-x1

m = 4 - 1 / 8 - 4

m = 3/4

Now use any of the given points to begin writing your equation, which will help you find the y intercept - ill use (4,1).

1 = 3/4(4) - b

1 = 3 - b

b = -2

now you have m and b so you can finish writing your equation.

y = mx + b

y = 3/4x - 2