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Construct a table of solutions and then graph equation.$y=-8 x$
$$\begin{array}{cc}\frac{x}{0} & \frac{y}{0} \\-1 & 8 \\-2 & 16 \\1 & -8 \\2 & -16\end{array}$$
Algebra
Chapter 3
Graphing Linear Equations and Inequalities in Two Variables; Functions
Section 2
Graphing Linear Equations
Graphs and Statistics
Equations and Inequalities
Linear Functions
Systems of Equations and Inequalities
Missouri State University
Oregon State University
University of Michigan - Ann Arbor
Lectures
01:32
In mathematics, the absolu…
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Let's grab the equation. Why equals negative eight pecs, like creating a table of values and then plotting the corresponding points? I like to use small values for our X variable. To keep the calculation simple, I typically start with negative 10 and one for my values of X. And then I'll find the corresponding values of why, when excess negative one. We confined the value of y by substituting negative one for X y equals negative eight times negative one when simplified. Why is equal to positive eight when X is negative? One. Why is eight and this corresponds to the point negative 18 that we can plot on our graph excess negative one. Why is positive? Eight. And there's our first solution. Do the same thing for the value when X is zero substitute zero for X and we have y equals negative. Eight times zero negative eight times zero is zero. So when x zero Why is zero which corresponds to the 0.0 rate at our origin? There's our second solution to find the third solution. Substitute 14 pecks and we have y equals negative eight times. One when simplified my equals negative eight, which corresponds to the 0.1 negative eight. Plot that point on our graph excess one. Why is negative eight And we have a third solution. Then using a straightedge, connect your points and you'll have the graph of the equation. We're gonna pretend I'm hitting my points nicely and there you go.
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