First we need to find the slope:
Slope formula=[tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in your given values from the coordinate
Slope =[tex] \frac{1-(-3)}{3-1} [/tex]
When we have 2 "-"'s together they turn into a + sign so we add.
Slope =[tex] \frac{1+3=4}{3-1=2} [/tex]
Slope =[tex] \frac{4}{2} [/tex]
Simplify (in this case divide) the slope:
Slope =[tex] 2 [/tex]
slope-intercept form is:
y=mx+b
Where m=slope
b=y-intercept
So far we have:
y=2x+b
To find b all we have to do is pick any given coordinate and plug it in:
I chose (3,1)
so we plug that in the equation
1=6+b
Now solve for b:
1=6+b
subtract 6 from both sides
b=-5
Final answer:
y=2x-5 (D)
