What is the equation in point-slope form of the line given (4,6),(5,7)?

2 Answers
Mar 6, 2018

m=1

Explanation:

Given -

(4, 6); (5, 7)

x_1=4
y_1=6
x_2=5
y_2=7

m=(y_2-y_1)/(x_2-x_1)=(7-6)/(5-4)=1/1=1

m=1

y - 6 = 1(x-4)

or

y - 7 = 1(x - 5)

Explanation:

Point slope form is essentially:

y - y_1 = m(x - x_1)

y_1 and x_1 are coordinates given to you. They can either be 6 and 4 respectively, or 7 and 5 respectively. Pick your choice.

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

So, plug in coordinates for that.

(7-6)/(5-4) = 1/1 = 1 = m

Remember, the plain ol' y and x in the point slope form equation will be the actual variables, since functions need those guys to stick around.