Question

Write the equation, in slope-intercept form, of the line that has a slope of 2 and passes through the point (1,3 ).

Answer 1

slope intercept form is
`y = mx+b`

where
`m` is the slope
and
`b` is the y-intercept

they give us that the slope is 2
so our
`m = 2`

then to find
`b` , we temporarily plug in the point they gave us for x and y

so
`3 = 2(1) + b`
and solve for
`b`
3 = 2 + b
1 = b
so our
`b = 1`

put this together and we get

`y = 2x + 1` as our answer