Question

Question #eda1b

Answer 1

`y=-6/5x+23/5`

Explanation:

When dealing with linear equation problems. you should know these two forms:
standard form: `y=mx+b`
slope-intercept form: `y_1-y_2=m(x_1-x_2)`

Standard form is when you're dealing with one point. Slope-intercept form deals with two points. The question said to get the answer into standard form, which means that we need a slope `m` and slope-intercept `b`.

First, we will find the slope `m` using the slope-intercept form.
`(-2,7), (3,1) = (x_2, y_2),(x_1, y_1)`
`y_1-y_2=m(x_1-x_2)`
`1-7=m(3-(-2))`
`m=-6/5=slope`

Now that we have our slope `m`, we can use the slope `m` and any given point `(-2,7) or (3,1)` to find our slope-intercept `b`.
`y=mx+b`
`1=(-6/5)*3+b`
`b=23/5`

Now that we have our slope `m` and our slope-intercept `b`, we can find the equation of the line between the two points.
`y=mx+b`
`y=-6/5x+23/5`