Please show all of your work. Any and all help is greatly appreciated.
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to find the y intercepts you set x = 0 and to find the x intercepts you set y = 0. I can't really use them to graph the equation here, but here's how you find the intercepts.
y-intercepts:
y=2(0)-6
y=0-6
y=-6 so -6 is your y intercept
x-intercepts:
0=2x-6
6=2x
x=3 so 3 is your x intercept
you know since x is only to the first power your graph is linear. Just put a point at (0,-6) and (3,0) on your graph and draw a straight line between them. You could also plot one of the points and use the slope of the equation, which is m=2 in y=mx+b, to find all the points on the straight line. Hope this helps.
y-intercepts:
y=2(0)-6
y=0-6
y=-6 so -6 is your y intercept
x-intercepts:
0=2x-6
6=2x
x=3 so 3 is your x intercept
you know since x is only to the first power your graph is linear. Just put a point at (0,-6) and (3,0) on your graph and draw a straight line between them. You could also plot one of the points and use the slope of the equation, which is m=2 in y=mx+b, to find all the points on the straight line. Hope this helps.
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y=mx+b
b=y intercept
m=slope, (rise/run= 2/1 =2 units up, 1 unit right)
to find the x intercept, make y=0 in the equation: 0=2x-6.
b=y intercept
m=slope, (rise/run= 2/1 =2 units up, 1 unit right)
to find the x intercept, make y=0 in the equation: 0=2x-6.