Answer:
[tex]y=-3x-17[/tex]
Step-by-step explanation:
To find out the m(slope) of the equation use the formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
Substitute the values:
[tex]\frac{4--2}{3-5}[/tex]
Combine the values:
[tex]\frac{6}{-2}[/tex]
Find the value of the fraction:
[tex]-3[/tex]
M is -3.
The equation so far is [tex]y=-3x+b[/tex]
To find the y intercept, substitute one pair of coordinates into the equation and solve for b:
[tex]y=-3x+b\\-2=3*5+b\\-2=15+b\\-17=b[/tex].
We see that b =-17 so the full equation would be:
[tex]y=-3x-17[/tex].
