Question

How do I find the linear equation for this? (y=mx+b)

Answer 1

Explanation:

These are the two methods to finding the equation of a line when given a point and the slope: Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b. Use the m given in the problem, and the b that was just solved for, to create the equation y = mx + b.

Answer 2

Okay, here we have this:

Considering the provided table, we are going to find the corresponding linear equation, so we obtain the following:

To do this we will start using the information in the slope formula, then we have:

m=(y2-y1)/(x2-x1)

m=(190-(-30))/(19-9)

m=220/10

m=22

Now, let's find the y-intercept (b) using the point (9, -30):

y=mx+b

-30=(22)9+b

-30=198+b

b=-30-198

b=-228

Finally we obtain that the linear equation is y=22x-228