Question

Solve the system of equations by graphing.
y=−3x−4 y=x+4

Answer 1

x = -2

y = 2

Explanation:

In addition to my explanation, I will include a graph.

Since both equations are in slope-intercept form
`y=mx+b`, where m is the slope of the line and b is the y-intercept, we can easily plot both lines.

First you plot the first points, which are (0,-4) and (0,4).

Next, we can use rise over run to determine where our next points will go.

Rise over run is just taking the slope as a fraction and using that to move points. For example, a slope with 3/4 would mean I move my points 4 spots to the right on the x-axis and 3 up on the y-axis. Every whole number is that number with #/1, so for the first equation we go right 1 spot and down 3 spots. For the next equation we go up 1 and right one. Keep doing this until you have a line formed and find where the lines intersect, or share a point.

Answer 2

I hope this helps: first when graphing y=Mx+b always start with ur y-intercept or b so in this case y = -3x + -4 u would go down 4 spaces and right three spaces or till u reach -3 on the second quadrant. For the second one you’ll do (0,0) find the slope with the coordinate given to you.