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Graph each linear equation using the $y$ -intercept and slope determined from each equation.$$y=\frac{-4}{5} x+2$$

$m=-\frac{4}{5} ; y$ -intercept (0,2)

Algebra

Chapter 2

Relations, Functions, and Graphs

Section 3

Linear Graphs and Rates of Change

Graphs and Statistics

Functions

Campbell University

Harvey Mudd College

Baylor University

Lectures

01:43

In mathematics, a function…

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Graph each linear equation…

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Graph each equation by usi…

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Use the slope and $y$ -int…

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we're given the equation. Why is equal to negative for Fifth X plus two and we have to create a graph of it. You may notice that this equation is in slope intercept form, which makes things much easier to graph. So first off, we're going to look at the Y intercept the Y intercept in an equation in slope intercept form is whatever number is added, not multiplied. So in this case, it's this plus two that is not multiplied by the extra instead added on. So therefore, the Y intercept of this graph is at the 0.0 comma to because the X value at the Y intercept is always going to be zero. Thus, we can make we can plot one point right there at zero to now, As long as we get one other point, we will be able to create a line out of this. So we need to turn to the slope part of this slope intercept farm equation. The slope is always whatever is multiplied by acts, so our slope em is equal to negative 4/5. Now, you may remember from the chapter that slope is defined as the change and why divided by the change in X. So the change and why will be negative for Delta y. It's negative for and the change in acts will be positive. Five. You generally want to make sure that you're changing. X is going to be positive because we read our grafts from left to right. So changing why is negative for if we're going to move down? Four units 1234 down. You're too negative, too. And change in axis fives. We're going to move to the right. Five units 12345 out here to five. And we plot our next point at five. Common negative, too. All that remains now is drawing a line between these two points so that it is connected and makes the graph of a linear equation. Thus, the graph of the equation why is equal to negative 4/5? X plus two will look something like this. And now that we have grafted using the slope of the Y intercept, we're done with this problem

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