Question

Find the slope-intercept equation of the line satisfying: Y-Int is 4 and goes through (1,8).

Answer 1

Explanation

Let's recall that the slope-intercept equation of a line has the form

$y=mx+b,$

where "m" is the slope, and "b" is the y-intercept. We know that the y-intercept is 4; then, our equation becomes

$y=mx+4.$

The trick to finding the slope is to note that the point (1,8) lies on the line; namely, we can evaluate the equation of the line in this point:

$8=m\cdot1+4.$

Solving this equation for m, we get

$\begin{gathered} 8=m\cdot1+4, \\ 8=m+4, \\ 8-4=m+4-4, \\ 4=m, \\ m=4. \end{gathered}$Answer

The equation of the line satisfying the provided conditions is

$y=4x+4.$