Step-by-step explanation:
I cannot draw here, but I can show and tell you how to find 2 points of the individual lines that you can then mark on the chart and draw the line through them.
1)
y = 7/2 x - 2
so, the first and easiest point is the y-intercept (where x = 0).
x = 0, therefore, y = -2
so, the first point is (0, -2)
for the second point : what value of x would eliminate the fraction and make this whole integer number calculations ?
well, x = 2 !
so,
y = 7/2 × 2 - 2 = 7 - 2 = 5
and our second point is (2, 5)
2)
y = -6x + 3
the same principles. first x = 0, therefore y = 3
the first point is (0, 3)
for the second point we can choose any integer x, as all the other terms are integer too.
let's pick x = 1
y = -6×1 + 3 = -6 + 3 = -3
so, the second point is (1, -3)
3)
y = -5
this just means that for every possible value of x the resulting y value is -5.
that means it is a horizontal line through y = -5 or (0, -5)
4)
y = 6/5 x + 1
the same principles. x = 0, therefore y = 1
the first point is (0, 1)
for the second point, again, what x eliminates the fraction and makes all an integer operation ?
well, x = 5.
y = 6/5 × 5 + 1 = 6 + 1 = 7
ok, 7 is off the chart, so let's use x = -5 instead.
y = 6/5 × -5 + 1 = -6 + 1 = -5
so, the second point on the chart is (-5, -5)
