Answer:
y=4x-4
Step-by-step explanation:
The equation of a line is slope-intercept form is: y=mx+b where m is the slope and b is the y-intercept. This is the required form I think. Your document says write in slope... can't read the rest because it is cut off.
I'm actually going to use point-slope form which is: y-y1=m(x-x1) where m is the slope and (x1,y1) is a point we know that is on the line.
We have m=4.
We can actually find a point on the line. Both the line and the curve y=x^2 cross at x=2.
So we find the corresponding y-coordinate on our line to x=2 by plugging into x^2.
x^2 evaluated at x=2 gives us 2^2=4.
So we have the slope m=4 and a point (x1,y1)=(2,4) on the line.
Let's plug it into the point-slope form:
y-4=4(x-2)
Now the goal was y=mx+b form so let's solve our for y.
y-4=4(x-2)
Distribute 4 to terms in ( ):
y-4=4x-8
Add 4 on both sidea:
y=4x-4
