wright an equation in the given from of the line passing through the given points

Question

what are the x- and y- intercepts fro the graph of -2x + 7y = 14 a. x-intercepts:

Answer 1

To find the x-intercept, we set y equal to 0 and solve for x.

-2x + 7(0) = 14
-2x = 14
x = 14/(-2)
x = -7

Therefore, the x-intercept is -7.

To find the y-intercept, we set x equal to 0 and solve for y.

-2(0) + 7y = 14
7y = 14
y = 14/7
y = 2

Therefore, the y-intercept is 2.

The equation of the line passing through the points (-7, 0) and (0, 2) is y = (2/7)x + 2.