Question

what is the slope intercept form of the line with a slope of -2 that passes through the point (-5, -3)?
○ $y = -2x - 13$
○ $y - 3 = -2(x + 5)$
○ $y = -2x - 7$
○ $y + 3 = -2(x + 5)$

question 7
2 points
what is the slope intercept form of the line that passes through the points (4, 13) and (8, 25)?
○ $y = -3x + 25$
○ $-2x + y = 1$
○ $y = 3x + 1$
○ $3x + y = 25$

Explanation:

First Question

Step1: Recall point-slope form

$y - y_1 = m(x - x_1)$

Step2: Substitute $m=-2, (-5,-3)$

$y - (-3) = -2(x - (-5))$

Step3: Simplify to slope-intercept form

$y + 3 = -2x - 10$
$y = -2x - 13$

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Second Question

Step1: Calculate slope $m$

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{25 - 13}{8 - 4} = \frac{12}{4} = 3$

Step2: Use point-slope form

$y - 13 = 3(x - 4)$

Step3: Simplify to slope-intercept form

$y - 13 = 3x - 12$
$y = 3x + 1$

Answer:

A. $y=-2x - 13$