3
x
+
2
y
>
24
3
x
+
2
y
>
24
Solve for
y
y
.
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y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12
Use the slope-intercept form to find the slope and y-intercept.
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Slope:
−
3
2
-
3
2
Y-Intercept:
12
12
Graph a dashed line, then shade the area above the boundary line since
y
y
is greater than
−
3
x
2
+
12
-
3
x
2
+
12
.
y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12
Answer:
Step-by-step explanation:
Do it yourself m8!
-1/12 - (-11/12) would change into -1/12 + 11/12 because a double negative (bold print) would become a positive. The answer to the new problem would be 10/12 or 5/6 (depending on if it says to simplify).
Answer:
y = 2x + 3
Step-by-step explanation:
The y-intercept is clearly marked: it's b = 3 (or 0, 3).
Going from the point (-3, -3) to the point (0, 3),
x increases by 3 and y increases by 6. Thus, the slope of the line through these two points is m = rise / run = 6 / 3, or m = 2.
Starting with the slope-intercept form of the equation of a straight line:
y = mx + b, we substitute 2 for m and 3 for b, obtaining:
y = 2x + 3
