Answer:
y-intercept: (0,7)
x-intercept: (3.5,0)
Step-by-step explanation:
The equation is in slope-intercept form.
[tex]y = mx + b\\\rule{150}{0.5}\\m - \text{slope}\\b - \text{y-intercept}[/tex]
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.
[tex]y = -2x + 7\\\rule{150}{0.5}\\0 = -2x + 7\\\\0 - 7 = -2x + 7 - 7\\\\-7 = -2x\\\\\frac{-7=-2x}{-2}\\\\\boxed{x = 3.5}[/tex]
The x-intercept is (3.5, 0).
Hope this helps.
