im so stuck

Question

the equation of the line that passes through (1, 5) and (–2, 14) in slope-intercept form.

Answer 1

The formula for slope intercept form is y₂-y₁ over x₂-x₁ and y=mx+b

x₁=1, x₂=5, y₁=-2, y₂=14

 

m=14-(-2)/5-1

=16/4

=4

m=4

 

 y=mx+b

14=4(1)+b       You can pick any x or y. Perfer the easiest number to solve.

14=4+b

10=b

 

Now writing in the final slope intercept form: y=4x+10

 

If you want to graph it, then go up 10 on y-axis because it is a positive number and right 4.