Question

Find the x- and y- intercepts of each equation.
y = -2x + 7

Answer 1

y-intercept: (0,7)

x-intercept: (3.5,0)

Explanation:

The equation is in slope-intercept form.

`y = mx + b\\\rule{150}{0.5}\\m - \text{slope}\\b - \text{y-intercept}`

Since '7' is in b's spot, it is the y-intercept of the equation.

(0,7)

To find the x-intercept, we would plug 'y' in for 0 and solve for x.

`y = -2x + 7\\\rule{150}{0.5}\\0 = -2x + 7\\\\0 - 7 = -2x + 7 - 7\\\\-7 = -2x\\\\(-7=-2x)/(-2)\\\\\boxed{x = 3.5}`

The x-intercept is (3.5, 0).

Hope this helps.