Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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

Sagot :

Explanation

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

[tex]y=mx+b,[/tex]

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

[tex]y=mx+4.[/tex]

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:

[tex]8=m\cdot1+4.[/tex]

Solving this equation for m, we get

[tex]\begin{gathered} 8=m\cdot1+4, \\ 8=m+4, \\ 8-4=m+4-4, \\ 4=m, \\ m=4. \end{gathered}[/tex]Answer

The equation of the line satisfying the provided conditions is

[tex]y=4x+4.[/tex]

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.