Answer:
y=2x+2
Step-by-step explanation:
To find the point-slope form of the equation we need to get the slope-intercept form of (-3,-4) and 2
(Slope intercept form formula is y=mx+b) (m is slope) (b is y-intercept)
So we know that the slope of this equation is 2 so we can replace m with 2 since the slope is 2 and m is slope.
Equation will look like this:
y=2x+b
Now we need to find the b or y-intercept of the equation to do this the (-3,-4) come into play: replace x with -3 and replace y with -4
(x,y) -3 is x since it is the same spot in (-3,-4) and -4 is y since it is in the same spot in (-3,-4)
Replace:
-4=2(-3)+b
Multiply 2 and -3:
-4=-6+b
Move 6 to the other side by adding 6 on both side:
6-4=-6+6+b
Simplify
2=b
Now the equation looks like this: (If you replace b with 2 in y=2x+b)
y=2x+2
Answer: y=2x+2 (Point-slope form is the same thing as slope-intercept form)
