SOLUTION: how do you plot two points on a graph using the equation y=mx+c where m is the slope or gradient and c is the y-intercept, and there are y and x axis, and the eqaution to be plotte

Algebra ->  Coordinate-system -> SOLUTION: how do you plot two points on a graph using the equation y=mx+c where m is the slope or gradient and c is the y-intercept, and there are y and x axis, and the eqaution to be plotte      Log On


   

Question 837691: how do you plot two points on a graph using the equation y=mx+c where m is the slope or gradient and c is the y-intercept, and there are y and x axis, and the eqaution to be plotted is y=-x-2?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
there are several ways to do it.
one of the easiest ways is to find the x and y intercepts.
you can find them in the following manner.

the equation is y = -x - 2

when x = 0, the equation becomes:
y = -2
that's your y-intercept.
the coordinates of that point are (0,-2).

when y = 0, the equation becomes:
0 = -x - 2
add 2 to both sides of this equation to get:
2 = -x
multiply both sides of this equation by -1 to get:
x = -2
that's your x-intercept.
the coordinates of that point are (-2,0).

what you have just done is plot 2 points.
draw a straight line between them and that's the graph of your line.

that graph looks like this:
graph%28600%2C600%2C-5%2C5%2C-5%2C5%2C-x-2%29

you can see that the x-intercept is at (-2,0) and that the y-intercept is at (0,-2).

the x-intercept is the point where the graph crosses the x-axis.
the y-intercept is the point where the graph crosses the y-axis.

there are other ways to graph the equation.
this is just one of them.