slope-intercept form and in the standard form

Question

Containing the points (0, 10) and (12, 0).

Answer 1

Hello, thank you for taking the time to post your question!

First, you need to find the slope of the line that passes through the points (0, 10) and (12, 0).

m=(0 - 10) / (12 - 0) = -10 / 12 = -5/6

Since the line passes through the point (0, 10), the y-intercept is 10, meaning that in slope-intercept from the equation is y=−5/6x+10

Finally then to convert the equation to the standard form (Ax+By=C), you need to get rid of the fraction and move the terms around.

y=−5/6x+10

6y=−5x+60

5x+6y=60

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

a line through the points (0,10) and (12,0) has slope = 10/-12 = -5/6

y=mx +b

y =-(5/6)x + b

10=-5/6)(0) + b

b = 10

y= (-5/6)x + 10 is the line through the two points with slope =-5/6 and y intercept = 10