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Write an equation of the line with the given slope and $y$ -intercept and graph it. See Example 2.Slope $\frac{1}{3}, y$ -intercept $(0,-5)$

Algebra

Chapter 3

Graphing Linear Equations and Inequalities in Two Variables; Functions

Section 5

Slope–Intercept Form

Graphs and Statistics

Equations and Inequalities

Linear Functions

Systems of Equations and Inequalities

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

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Write an equation of the l…

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Use the slope-intercept fo…

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Write each equation in slo…

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01:13

Find the slope and the -in…

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Write an equation in slope…

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Draw a line that has the g…

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Write the equations in slo…

Let's find the equation of the line that has a slope of 1/3 and a Y intercept of zero negative five. So if we use the equation, Y equals MX plus B, the slope intercept form of a line M stands for the slope. So M is 1/3 and B stands for the Y coordinate of the Y intercept. So be is negative five. So if we substitute those numbers and we get our equation, why equals 1/3 X minus five. Now we're going to graft the line. So we start by plotting the Y intercept the 0.0 negative five, and from that point, we use our slope to find another point. So since our slope is 1/3 that tells us to go up one and write three from the point we plotted. So from the Y, intercept up one and write three takes us to here. We could do it again, up one in right, three, and then connect this point and extend beyond them and you get your line

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