what are the x- and y-intercepts for the graph of -2x +7y=14
To find the x-intercept, we set y = 0 and solve for x.
-2x + 7(0) = 14
-2x = 14
Dividing both sides by -2, we get:
x = -7
The x-intercept is -7.
To find the y-intercept, we set x = 0 and solve for y.
-2(0) + 7y = 14
7y = 14
Dividing both sides by 7, we get:
y = 2
The y-intercept is 2.
Therefore, the x-intercept is -7 and the y-intercept is 2 for the graph of -2x + 7y = 14.