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 28 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. We can highlight the slope m and y-intercept b of our equation so that it will be easier to create the graph.

y= -1x + 0 The slope is -1 and the y-intercept is 0.

Graphing the Equation

A slope of -1 means that for every 1 unit we move in the positive horizontal direction, we move 1 unit in the negative vertical direction. m=rise/run=-1/1 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.