Problem

Graph equation. Solve for $y$ first, when necessa…

Problem 52 Hard Difficulty

Solve equation for $y$ and then graph it.
$4 y-x=8$

Answer

$$
y=\frac{x}{4}+2
$$

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Algebra

Elementary and Intermediate Algebra

Chapter 3

Graphing Linear Equations and Inequalities in Two Variables; Functions

Section 2

Graphing Linear Equations

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Video Transcript

we're going to grab the equation for y minus X equals eight by first solving the equation for y and selecting values of X that we can use to find corresponding solutions and plot those points on our graph To solve the equation for why we want to use inverse operations to get while by itself, we'll start by adding extra both sides of the equation. This leaves us with four y is equal to X plus eight now divide both sides by four toe. Isolate why and why equals 1/4 of X plus two. Now we can choose values of X that when we substitute into the equation, will give us corresponding values. For why, since X is going to be multiplied by the fraction 1/4 we want to use factors of four for our X variable in order to eliminate the fraction. So let's use negative 40 and four Our first value negative four Weaken Substitute into the equation. Why equals 1/4 times negative four plus two and then simplifying 1/4 times Negative four is negative. One plus two. Why is equal to positive one? This will correspond to the point negative 41 Our first solution. Let's plot that point on our grid. Texas Negative four. Why is one then we have X equals zero. When we substitute X equals zero, we have y equals 1/4 time. Zero plus two. This will simplify 20 plus two and why is equal to two? This corresponds to the 0.2 and we have a second solution that we can plot is the road to and moving on to our last chosen value for X will substitute for into the equation. Why equals 1/4 times for plus two and again simplify 1/4 times four is one plus two. Why is equal to three? This corresponds to the 0.43 r third solution to our equation. Xs four. Why is three? The last step is to drop a straight line that passes through each of our solutions that we applauded. Use a straight edge to make sure you have a straight line and then add arrows at the end to indicate that the line is infinite.

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