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What is the equation of the line containing (4,-2) , (6,4)

2 Answers

8 votes
4,12 , 6,4 containing
User Irmorteza
by
3.2k points
10 votes

Answer:

Explanation:

To find the slope it is: change in y/change in x

or

y_1 - y_2/x_1 - x_2. It can also be the variable sub 2, minus sub 1.

For this it is:

-2-4/4-6

-6/-2

3

m = 3

Slope intercept form is y = mx+b. Now we can sub in m. y = 3x+b.

To find b, sub in numbers from one of the points for x and y. I'm going to use (4,-2). Since in this case, -2 = y, and 4 = x, then those are the numbers I'm going to replace x and y with.

-2 = 3(4) +b

-2 = 12+b

-14=b

If -14 = b, and 3 = m, then your equation is y = 3x-14

User Breda
by
3.2k points