Question

A line passes through the point (8,9) and has a slope of 3/4

What is the equation in slope intercept form for this line

Answer 1

Answer:
`y=(3)/(4)x+3`

Explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.

`y=(3)/(4)x+b` [plug in (8,9)]

`9=(3)/(4)(8)+b` [multiply]

`9=6+b` [subtract both sides by 6]

`b=3`

Now that we have b, we can complete the equation to
`y=(3)/(4)x+3`.