Karina F. answered • 01/15/21
If you seek success...I am here to help
Hi...
Since you have TWO points on the line you can calculate the slope, m and use the point-slope formula (using one of the points for x1, y1 to come up with the equation of the line
Slope, m = rise / run = (y2 - y1) / (x2 - x1) ...doesn't matter which point is P1 and P2, the slope will be the same
I will use P1 = (x1, y1) = (-1, 2) and P2 = (x2, y2) = (5, 4)
m = (4 - 2)/ (5 - (-1)) = 2/6 = 1/3
Point-Slope formula; y - y1 = m(x - x1) ...here you can use any of the points doesn't have to be P1
I will use P1 (-1, 2) just random
y - 2 = 1/3(x - (-1))
y - 2 = 1/3(x + 1)...Use distributive property of the RHS
y - 2 = 1/3(x) + 1/3
Isolate y by adding 2 on both sides...
y = 1/3(x) + 1/3 + 2
y = 1/3(x) + 7/3 Final Answer
Hope this helps :)
