Question

Write an equation of the line passing through the points (3,1) and (−1, −7) PLS HELP ASAP

Answer 1

`y=2x-5`

Explanation:

Find the slope using the two points:

`(y_(2)-y_(1))/(x_(2)-x_(2))=slope`

Insert the coordinate points:

`(3_(x1),1_(y1))\\\\(-1_(x2),-7_(y2))\\\\(-7-1)/(-1-3)`

Simplify:

`(-7-1)/(-1-3) =(-8)/(-4) =2`

The slope is 2.

Now write an equation using point-slope form:

`y-y_(1)=m(x-x_(1))`

• m is the slope
• x and y are the corresponding coordinate points

Insert:

`(3_(x1),1_(y1))\\\\y-1=2(x-3)`

Simplify and convert to slope-intercept form:

`y=mx+b`

• m is the slope
• b is the y-intercept
• x and y are the corresponding coordinate points

Use the distributive property:

`y-1=2(x)+2(-3)\\\\y-1=2x-6`

Add 1 to both sides:

`y-1+1=2x-6+1\\\\y=2x-5`

:Done