Question #eda1b

1 Answer
Oct 26, 2017

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