Question

Solve the systems by graphing.

y =x+3
y = -2x - 6

Answer 1

(-3, 0)

Explanation:

When we graph the equations:

y = x + 3,

y = -2 - 6,

we can see that they intersect at (-3, 0).

Therefore, that is the solution to the system.

— Extra note —

When graphing a line from a slope-intercept form equation (y = mx + b), we know the following:

m is the line's slope (rise over run)

b is the y-coordinate of the line's y-intercept

Answer 2

Answer: (-3, 0)

Explanation:

First, we will graph these equations. See attached. One has a y-intercept of 3 and then moves right one unit for every up down (we get this from the slope of 1). The other has a y-intercept of 4, and then moves down two units for every unit right (we get this from the slope of 1).

The point of intersection is the solution, this is the point at which both graphed lines cross each other. Our solution is:

(-3, 0) x = -3, y = 0