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(:

Step-by-step 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},\:y-intercept:\:(0,\:5)} \atop {\!\!\!Equation(2):\:y\:=\:-\frac{3}{2}x-5}\:\Rightarrow slope(m)=-\frac{3}{2},\:y-intercept:\:(0,\:-5)} \right. }[/tex]

Start by plotting the y-intercepts of each equation on the graph.

Equation 1: y-intercept: (0, 5)

Equation 2: y-intercept: (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.