Chapter 3: Linear Equations and Inequalities in Two Variables

Section: 5 Slope-Intercept Form

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Example
1

Find the slope and \(y\)-intercept of the line \(y=\dfrac{3}{2}x+1\).

Example
2

Find the slope and \(y\)-intercept for \(-2x+y=-4\). Then draw the graph.

Example
3

Find the slope and \(y\)-intercept for \(3x-2y=6\).

Example
4

Find the equation, and graph the line with slope \(-\dfrac{4}{3}\) and \(y\)-intercept \(5\).

Example
5

Find the equation of the line with slope \(-2\) that contains the point \((-4,3)\).

Example
6

Find the equation of the line passing through the point \((2,5)\) and perpendicular to the line \(3x+4y=12\). Write the answer in slope-intercept form.

Example
7

Find the equation of the horizontal line passing through the point \((-3,-1)\).

**Mini Lecture**

Find the equation of the line with \(m=\displaystyle\frac{3}{2}\) and \(b=-1\).

Find the slope and \(y\)-intercept of \(4x-5y=20\).

Find the equation of the line through \((-2,-5)\) with slope \(m=2\).

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