You can
put this solution on YOUR website!First you need to put these equations in the line form [Y=mX+b] where the [m] term=slope & the [b] term=y intercept.
7x+2y=9
2y=-7x+9
y=-7x/2+9/2
y=-3.5x+4.5 (red line)
4x+5y=6
5y=-4x+6
y=-4x/5+6/5 (green line)
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -3.5x +4.5 and -4x/5 +6/5).
You can
put this solution on YOUR website!First, it's helpful to get your equations into the "slope-intercept" form. Remember those?
where m = the slope and b = the y-intercept.
Subtract 7x from both sides of the equation.
Simplify this.
Now divide both sides by 2 to get the y by itself.
Simplify this.
For the second equation:
Subtract 4x from both sides.
Divide both sides by 5.
Since these are linear equations, their graphs will be straight lines and you need only two point to draw a straight line. So, for each equation, first substitute x = 0 and solve for y, then substitute y = 0 then solve for x.
First equation:
The first point:
Substitute x = 0 and solve for y.
This is one point: (0, 9/2)
The second point:
Substitute y = 0 and solve for x.
Add
to both sides.
Multiply both sides by the multiplicative inverse of
and this is
This is the other point: (3/2, 0) I'll leave the two points for other equation for you to find by using the same technique as above, starting with:
The graph will look like like:
(