Answer:
2
Step-by-step explanation:
The slope is the ratio of the vertical difference between two points to the horizontal difference. This ratio is often referred to as "rise over run."
From the point (-2, -1) to the point (2, 7), the rise is 7-(-1) = 8, and the run is 2-(-2) = 4. The ratio of these numbers is ...
slope = rise/run = 8/4
slope = 2
_____
<em>Check</em>
The graph rises 2 units for a run of 1 unit, confirming this calculation.
Answer:
D. y = 5x + 29
Step-by-step explanation:
To write an equation of a line in slope-intercept form, we need to find the slope and the y-intercept.
The equation of a line is y=mx + b.
x and y are the coordinates of any point on a line.
m is the slope.
b is the y-intercept.
Lines are parallel to each other when they have the same slope. A line parallel to y = 5x + 2 would also have the slope 5.
m = 5
Since we have a point on the line, (-6, -1) and the slope, 5, there is only one missing variable, b, the y-intercept.
Substitute the known information into the equation and isolate b.
y = mx + b
-1 = 5(-6) + b <=Simplify by solving 5 X -6
-1 = -30 + b
-1 + 30 = -30 + 30 + b <= Add 30 to both sides to isolate b
29 = b
b = 29 <= Standard formatting puts the variable on the left side
Put the m and b values into the equation of a line to solve:
y = mx + b
y = 5x + 29
Answer:
see explanation
Step-by-step explanation:
(a)
0 < 5 ⇒ f(0) = x + 4 = 0 + 4 = 4
f(0) = 4
(b)
5 ≤ 6 < 7 ⇒ f(6) = 8
Answer:
-0.53571428571
Step-by-step explanation:
