Question

Find the slope of the line that passes through the points (9, -2) and (4, 3)

Answer 1

Answer:

-1

Step-by-step explanation:

Formula: $y=mx+b$

Using two points:

Since we are given the $y$ and $x$ value, what is left is the $m$ and $b$ in the formula, which represent slope and the y-intercept.

Slope

$m$ is slope

Formula: $\frac{y_2-y_1}{x_2-x_1}$

Plug points:  $\frac{3-(-2)}{4-9}$

Solve:            $\frac{5}{-5}$

Simplify:       $\bold{m=-1}$

Therefore, the slope is -1

Learn more:

y-intercept

$b$ is the y-intercept

Plug one of the points and the slope into the formula, solve for b: (4, 3)

$3=-1(4)+b$

$3=-4+b$

$3+4=-4+b+4$

$\bold{b=7}$