Answer:
y = [tex]-\frac{3}{5}[/tex] x + 3
Step-by-step explanation:
To find slope you need to take y2-y1 divided by x2-x1. First to the subtraction. Y2 is 3 in this problem and y1 is 0. X2 is 0 and x1 is 5. 3-0 = 3 and 0-5 = -5. Now we have the equation [tex]-\frac{3}{5}[/tex] as the slope.
Slope-intercept form is y= mx+b so plug in [tex]-\frac{3}{5}[/tex] to get y = [tex]-\frac{3}{5}[/tex] x + b
The y-intercept is the coordinate where the x is equal to zero. (0,3) is the coordinate that meets this requirement. The y coordinate is 3 so that is the y-intercept. Plug that in to y = [tex]-\frac{3}{5}[/tex] x + b to get = [tex]-\frac{3}{5}[/tex] x + 3.
