Answer:
y = 3/4x - 2
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