Write the equation of the line in slope intercept form that passes through the points (-1,1) and (2,13)

Question

asked Mar 20, 2019 37.9k views

1 Answer

AIntel · Answer 1 · 2019-03-26T20:30:39+0000

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=(y_2-y_1)/(x_2-x_1)

We have the points (-1, 1) and (2, 13). Substitute:

m=(13-1)/(2-(-1))=(12)/(3)=4

Therefore the equation of a line is

y=4x+b

Put the coordinates of the point (2, 13) to the equation of a line:

13=4(2)+b

13=8+b subtract 8 from both sides

$5=b\to b=5$