Question

Given the point (1, 3) and a slope of 2, write an equation in point-slope form.

Answer 1

y=2x+1

Explanation:

Since we are given a point and a slope, we can use the point slope formula

`y-y_(1) =m(x-x_(1))`

m is the slope. In this case, m is 2.

y1 is the y coordinate of the point given. y1 is 3.

x1 is the x coordinate of the point given. x1 is 1

y-3=2(x-1)

Now, we need to get the equation into point slope form: y=mx+b

To do this, we need to get y by itself

First, distribute the 2 on the right

y-3=2*x+ 2*-1

y-3=2x-2

Add 3 to both sides

y-3+3=2x-2+3

y=2x+1

The equation is in y=mx+b form, so our final equation is:

y=2x+1