1 y=2 + 5 6 3 y = 5 2 Plot two lines by clicking the graph. Click a line to delete it. Can somebody help me with this? T.I.A(:
Question
y=2 + 5
6
3
y =
5
2
Plot two lines by clicking the graph.
Click a line to delete it.
Can somebody help me with this? T.I.A(:
1 Answer
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1. User Answers djtwinx017
Stepbystep explanation:
Given the two linear equations with two variables:
[tex]\displaystyle\mathsf{\Bigg\{\left{\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!Equation(1):\:y\:=\:\frac{1}{6}x+5\:\Rightarrow slope(m)=\frac{1}{6},\:yintercept:\:(0,\:5)} \atop {\!\!\!Equation(2):\:y\:=\:\frac{3}{2}x5}\:\Rightarrow slope(m)=\frac{3}{2},\:yintercept:\:(0,\:5)} \right. }[/tex]
Start by plotting the yintercepts of each equation on the graph.
Equation 1: yintercept: (0, 5)
Equation 2: yintercept: (0, 5)
Next, using the slope of each equation, use the "Rise over run" technique to plot other points on the graph. In other words:
Equation 1: slope = ⅙ ⇒ Rise 1 unit, run 6 units to the right.
[tex]\displaystyle\mathsf{Equation\:2:\:slope(m)\:=\frac{3}{2}\:\Rightarrow\:\:Down\:3\: units, run\:2\:units\:to\:the\:right. }[/tex]
Attached is the screenshot of the graphed linear equations using the techniques discussed in this post.