Question

Write an equation with the two points: (5,-2) and (3,4)

Answer 1

Answer:

$y=-3x-17$

Step-by-step explanation:

To find out the m(slope) of the equation use the formula:

$\frac{y_2-y_1}{x_2-x_1}$.

Substitute the values:

$\frac{4--2}{3-5}$

Combine the values:

$\frac{6}{-2}$

Find the value of the fraction:

$-3$

M is -3.

The equation so far is $y=-3x+b$

To find the y intercept, substitute one pair of coordinates into the equation and solve for b:

$y=-3x+b\\-2=3*5+b\\-2=15+b\\-17=b$.

We see that b =-17 so the full equation would be:

$y=-3x-17$.