392,654 views
22 votes
22 votes
Write an equation in slope intercept form of the line passing through points (1,6) and (-2,1)

User Neanderthal
by
3.2k points

1 Answer

27 votes
27 votes

Answer:

y = 5/3x + 13/3

Explanation:

slope intercept form is y = mx + b

to find the slope of a line using two points, you use the formula

m = (y2-y1)/(x2-x1)

(-2,1) (1,6)

(6 - 1)/(1 + 2)

5/3 is the slope

to solve for b, you take one of the points in the given and the slope (m) and solve for b

y = mx +b

y = 5/3x + b

6 = 5/3(1) + b

6 = 5/3 + b

18/3 = 5/3 + b

13/3 = b

now put the entire equation together

y = 5/3x + 13/3

User Auberon Vacher
by
2.9k points