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trasher [3.6K]
3 years ago
6

How can knowing the slope and y-intercept help you graph an equation?​

Mathematics
1 answer:
stealth61 [152]3 years ago
7 0

Answer:

<h3><em>To graph the equation of a line, we plot at least two points whose coordinates satisfy the equation, and then connect the points with a line. We call these equations "linear" because the graph of these equations is a straight line.</em></h3><h3><em /></h3><h3><em>There are two important things that can help you graph an equation, slope and y-intercept.</em></h3><h3><em /></h3><h3><em>Slope</em></h3><h3><em>We're familiar with the word "slope" as it relates to mountains. Skiers and snowboarders refer to "hitting the slopes." On the coordinate plane, the steepness, or slant, of a line is called the slope. Slope is the ratio of the change in the y-value over the change in the x-value. Carpenters and builders call this ratio the "rise over the run." Using any two points on a line, you can calculate its slope using this formula.</em></h3>

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Write the equation for the following relation. R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .} and show work
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m=(y2-y1)/(x2-x1)

m=(7-5)/(8-4)=0.5

2) Find the slope BC

m=(9-7)/(12-8)=0.5

3) Find the slope CD

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The points represent a linear function

so

<u>Find the equation of the line with m=0.5 and the point A(4,5)</u>

we know that

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therefore

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The equation is equal to y=0.5*x+3

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