Question

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. IM GIVING 40 POINTS !! DONT SKIP :((.

Answer 1

Answer:

$y=-10x+43$

Step-by-step explanation:

We need to put this line into slope-intercept form, which is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept.

The slope is rise over run, how much the $y$ value changes for one $x$ value. This can be found with the equation: $m=\frac{y_2-y_1}{x_2-x_1}$ where $(x_1,y_1)$ and $(x_2,y_2)$ are points on the line. Plugging in the first two points:

$m=\frac{3-13}{4-3}=-10/1=-10$

We know them that $m=-10$. This gives us for now $y=-10x+b$.

Now, to solve for $b$, plug in any one of the points (I'll use (3,13)):

$13=-10(3)+b$

$13=-30+b$

$b=43$

This gives us the equation $y=-10x+43$.