Graph the linear equation using intercepts

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:

Plug in the intercepts (the order of y's and x's doesn't really matter as long as they're consistent):

=

Therefore, the slope is , or rise 3, run 5.

Now, lets graph:

( hope this helps! :) )

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints