Write an equation in slope-intercept form for the line that satisfies the following condition. passes through (13, 9) and (30, 26)

Question

If somebody could please help me with this and answer it I would be really grateful! Im stuck :(

Answer 1

Dear Medina,

 

We know two points on the line: (13, 9) and (30, 26).

 

We know that slope intercept form is y = mx + b

 

The slope, m, is given by (26 - 9)/ 30 - 13) = (17)/(17) = 1

 

y = x + b

 

All we have to do now is to figure out the y-intercept, b

 

b = y - x

 

b = 9 - 13 = -4

 

Note that we would get the same result if we had used

 

b = 26 - 30 = -4

 

So the equation of the line is y = x - 4