Question

(4,7) ; m=-2 in point slope form & slope intercept please

Answer 1

$\huge\boxed{y - 7 = -2(x - 4)}$

$\huge\boxed{y = -2x + 15}$

Point-Slope Form

Point-slope form is $y - y_1 = m(x - x_1)$, where $(x_1, y_1)$ is a point on the line and $m$ is the slope of the line.

Substitute in the values. $\boxed{y - 7 = -2(x - 4)}$

Slope-Intercept Form

Slope-intercept form is $y=mx+b$, where $m$ is the slope of the line and $b$ is the y-intercept of the line.

We need to convert the equation into slope-intercept form.

Distribute the $-2$ to the $(x-4)$. $y - 7 = -2x + 8$

Add $7$ on both sides. $\boxed{y = -2x + 15}$