Question

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(:

Answer 1

Explanation:

Given the two linear equations with two variables:

`\displaystyle\mathsf{\Bigg\{\left{\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!Equation(1):\:y\:=\:(1)/(6)x+5\:\Rightarrow slope(m)=(1)/(6),\:y-intercept:\:(0,\:5)} \atop {\!\!\!Equation(2):\:y\:=\:-(3)/(2)x-5}\:\Rightarrow slope(m)=-(3)/(2),\:y-intercept:\:(0,\:-5)} \right. }`

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.

`\displaystyle\mathsf{Equation\:2:\:slope(m)\:=-(3)/(2)\:\Rightarrow\:\:Down\:3\: units, run\:2\:units\:to\:the\:right. }`

Attached is the screenshot of the graphed linear equations using the techniques discussed in this post.