Question

question 6
find the equation of a line with given slope and containing the given point. write the equation in slope - intercept form.
$m = - 2$, point $(-2,7)$
$y = $
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Explanation:

Step1: Use point-slope form

The point-slope formula is $y - y_1 = m(x - x_1)$, where $m=-2$, $x_1=-2$, $y_1=7$.
$y - 7 = -2(x - (-2))$

Step2: Simplify the right-hand side

Simplify the expression inside the parentheses.
$y - 7 = -2(x + 2)$
$y - 7 = -2x - 4$

Step3: Solve for y (slope-intercept)

Add 7 to both sides to isolate y.
$y = -2x - 4 + 7$
$y = -2x + 3$

Answer:

$y = -2x + 3$