1.) Substitute into the inequality is it true:
1 < 2(-4)+5
1 < -3 False so the answer is b. No
2.) since y < the expression for the line, shade below
Answer: right
Step-by-step explanation:
Answer:
y = (1/2)x - 3 Answer A is closest.
Step-by-step explanation:
Two points on the line are (0, -3) and (4, -1). Notice that I've intentionally chosen "nice" points whose coordinates are integers; this makes the math easier. The point (1, -5/2) is also on the line if you want to use it, but the math's a bit more complicated.
Going from (0, -3) to (4, -1), x increases by 4 and y increases by 2. Hence, the slope of this line is m = rise / run = 2/4, or m = 1/2.
The slope-intercept formula for the equation of a straight line is the most convenient to use here, since we can tell immediately from the graph that the y-intercept is (0, -3):
y = (1/2)x - 3
Answer A should be y = (1/2)x - 3 for improved legibility. 1 2 x is not correct as a way to express (1/2)x.
Word problem: Today the temperature dropped 13 °F. After this drop, the temperature was 74 °F. What was the original temperature outside before the drop?
Subtraction problem: x °F - 13 °F = 74 °F
Solve: x - 13 = 74
x - 13(+13) = 74 + 13
x = 87 °F
