Question

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

Answer 1

Step-by-step 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.`