Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
5. Graphing Linear Equations in Slope-Intercept Form
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Exercise 31 Page 142

What information does a slope-intercept form equation give you?

x-intercept: 0
Graph:

Practice makes perfect

Equations written in slope-intercept form follow a specific format. y= mx+ b Here m represents the slope of the line and b represents the y-intercept.

Writing the Equation in Slope-Intercept Form

Since the given equation is not in slope-intercept form, let's rewrite it.
- y+5x=0
5x=y
y=5x
We can highlight the slope m and y-intercept b of our equation so that it will be easier to create the graph. y= 5x+ 0 The slope is 5 and the y-intercept is 0.

Graphing the Equation

A slope of 5 means that for every 1 unit we move in the positive horizontal direction, we move 5 units in the positive vertical direction. m=rise/run=5/1 To graph the equation, plot the y-intercept and then use the slope to find another point on the line.

Identify the x-intercept

Now that we have graphed the given function, we can use our graph to identify the x-intercept. This is the point at which the line intercepts the x-axis.

The line crosses the axis at (0,0), so the x-intercept is 0.