Answer:
The slope is 14. The y-intercept is 31.
Step-by-step explanation:
Start with slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute.
[tex]m=\frac{87-59}{4-2}[/tex]
Combine like terms.
[tex]m=\frac{28}{2}[/tex]
Divide.
[tex]m=14[/tex]
Now for y-intercept:
[tex]y=mx+b[/tex]
Substitute.
[tex]y=14x+b[/tex]
Subtract [tex]14x[/tex] from both sides of the equation so we are set to solve for [tex]b[/tex].
[tex]b=y-14x[/tex]
Let's substitute in x & y values from (2,59)
[tex]b=59-14(2)[/tex]
Solve.
[tex]b=31[/tex]
