A line includes the points (3,5)and (4,10). what is it's equation in slope intercept form

y = 5x - 10

Step-by-step explanation:

Slope intercept

y = mx + b

1 - Find the slope, m, using point slope

2 - Find the y-intercept, b, Using any points' x and y values in y = mx + b with the found slope.

Plug the slope into y = mx + b

y = 5x + b

Plug in a point (I'll use (3, 5) here however you can also use (4, 10) to get the same answer)

y = 5x + b; (3, 5)

5 = 5(3) + b

Get b alone

5 = 5(3) + b

  5 = 15 + b

-15   -15

-10 = b

3 - Plug it all into y = mx + b

y = mx + b

y = 5x + (-10)

y = 5x - 10

Hope this helps