Question

What is slope-intercept form of a line that passes through points (2,11) and (4,17)?​

Answer 1

Answer:

y = 3x + 5

Step-by-step explanation:

Okay, so first we do the equation for rise over run which is y2 - y1/ x2 - x1

so plug the numbers 11 - 17/ 4 - 2 getting the slope -3, now since we found the slope we need to find the intercept form, what you have to do now is plug in a coordinate from the x value and y value one of the pairs essentially so,

y = 3x + b, I chose your first pair

11 = 3 x 2 + b

equals to,

11 = 6 + b

now we want b, by itself.

5 = b

so the total intercept form answer is

y = 3x + 5

I will check over it,

11 = 3 x 2 + 5

11 = 11

I hope this helped!