Question

Graph the equation to solve the system y=-3x+2 y=-x-4

Answer 1

Answer:

x= 3; y = -7  

Step-by-step explanation:

(1) y = -3x + 2  

(2) y =    -x - 4

(a) Create a table containing a few values of x and y for each equation

 x     -3x + 2    -x - 2

-1            5           -1

 0           2           -2

 1           -1            -3

(b) Draw your axes

You should scale your axes, so the graph covers most of the plot area.

Let the x-axis run from -4 to 4 and the y-axis from -10 to 6.

Divide the axes into convenient intervals for ease of reading (I chose units of 1 for the x-axis and 2 for the y-axis).

(c) Plot your points

Draw dots at the coordinates of each point.

(d) Draw the graphs

Draw straight lines through the points.

Extend the line in both directions to the edges of the plot area.

Your graph should resemble the figure below.

With the scaled axes, it is easy to see that the two lines intersect at (3, -7).