Question

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

Answer 1

`y=-3x-17`

Explanation:

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

`(y_2-y_1)/(x_2-x_1)`.

Substitute the values:

`(4--2)/(3-5)`

Combine the values:

`(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`.