10201261
Answered

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Write the equation of the line that passes through points (-4, 5) and (0,13) in slope-intercept form.

Sagot :

Renae360

Answer:

The answer is

[tex]y = 2x + 13[/tex]

Step-by-step explanation:

Remember:

[tex]Slope-intercept form: \: \\ y = mx + b \\ \\ m = slope \\ b = y - intercept[/tex]

[tex]M = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

First: Find the slope.

[tex]M = \frac{13 - 5}{0 - ( - 4)} = \frac{8}{4} = 2[/tex]

.

Second: Solve for the y-intercept

[tex]y = mx + b \\ 5 = 2( - 4) + b \\ 5 = - 8 + b \\ \frac{+ 8 = + 8 \: \: \: \: \: \: \: \: }{13 = b} [/tex]

.

Third: Plug in.

[tex]y = mx + b \\ y = 2x + 13[/tex]

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