x-intercept: −21/8, y-intercept: 21
To find the x-intercept of the graph represented by the equation -8x + y = 21, we set y to zero and solve for x. Setting y to zero, we get:
-8x + 0 = 21
Solving for x, we find:
x = -21/8
So, the x-intercept is at the point (-21/8, 0).
To find the y-intercept, we set x to zero and solve for y. Setting x to zero, we get:
-8(0) + y = 21
Solving for y, we find:
y = 21
So, the y-intercept is at the point (0, 21).