The x-intercept is when y = 0
while
The y-intercept is when x = 0
So, to find the x-intercepts, set y to 0:
3x - 5(0) = 15
3x = 15
Divide both sides by 3:
x = 5
x-intercept is (5, 0)
Now, for the y-intercept:
3(0) - 5y = 15
-5y = 15
Divide both sides by -5:
y = -3
y-intercept is (0, -3)
Therefore, the x-intercept is (5, 0), and the y-intercept is (0, -3).
Now, lets find the slope using these 2 points on the graph and the rate of change formula, which is:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
Plug in the intercepts (the order of y's and x's doesn't really matter as long as they're consistent):
[tex]\frac{0 + 3}{5 - 0}[/tex] = [tex]\frac{3}{5}[/tex]
Therefore, the slope is [tex]\frac{3}{5}[/tex], or rise 3, run 5.
Now, lets graph:
( hope this helps! :) )
