Answer:
[tex]y=2x-5[/tex]
Step-by-step explanation:
Find the slope using the two points:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{2}}=slope[/tex]
Insert the coordinate points:
[tex](3_{x1},1_{y1})\\\\(-1_{x2},-7_{y2})\\\\\frac{-7-1}{-1-3}[/tex]
Simplify:
[tex]\frac{-7-1}{-1-3} =\frac{-8}{-4} =2[/tex]
The slope is 2.
Now write an equation using point-slope form:
[tex]y-y_{1}=m(x-x_{1})[/tex]
- m is the slope
- x and y are the corresponding coordinate points
Insert:
[tex](3_{x1},1_{y1})\\\\y-1=2(x-3)[/tex]
Simplify and convert to slope-intercept form:
[tex]y=mx+b[/tex]
- m is the slope
- b is the y-intercept
- x and y are the corresponding coordinate points
Use the distributive property:
[tex]y-1=2(x)+2(-3)\\\\y-1=2x-6[/tex]
Add 1 to both sides:
[tex]y-1+1=2x-6+1\\\\y=2x-5[/tex]
:Done
