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


Find The X And Y Intercepts Of Each Equation Y 2x 7 class=

Sagot :

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.