Question

What is the equation of the line that passes through the point (-5,2) and has a slope of 4/5?​

Answer 1

`y=(4)/(5) x+6`

Explanation:

When doing these types of equations it is crucial that you understand slope-intercept form (y=mx+b). Based on this question, I can infer that you more than likely already know it.

What you first want to do is plug in your values given to you. your slope is given therefore you have an equation of
`y=(4)/(5) x+b` already. Next you want to substitute in your x and y value given from the coordinate that the line is passing through so that you get the new equation
`(2)=4/5(-5)+b`. Now we want to distribute and get
`2=-4+b`.

The main point you want to realize is that we are given everything except the y-intercept (b) which is what we're trying to solve for. We now want to isolate b by adding 4 on both sides to eventually get
`6=b` or
`b=6`. We now simply go back into slope-intercept form with only the value of b and m present which will look like
`y=(4)/(5) x+6`