What is an equation of the line in slope intercept form?

a. y = 2x - 2
b. y = -2x - 2
c. y = -2x + 2
d. y = 2x + 2

What is an equation of the line in slope intercept form a y 2x 2 b y 2x 2 c y 2x 2 d y 2x 2 class=

Respuesta :

Answer:

○ [tex]\displaystyle y = 2x + 2[/tex]

Step-by-step explanation:

Starting from the y-intercept of [tex]\displaystyle [0, 2],[/tex]travel south two units, then west one unit to the endpoint AND x-intercept of [tex]\displaystyle [-1, 0].[/tex]Doing so will give you the rate of change of 2:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-2 ± 0}{0 - 1} = m \hookrightarrow \frac{-2}{-1} = m \\ \\ 2 = m[/tex]

With all the above information, you arrive at the equation of the line.

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