Slope of any line (m) can be calculated as follows:
m = (y2-y1) / (x2-x1)
from the given points:
(x1,y1) = (2,-3)
(x2,y2) = (8,4)
substituting in the equation, we can get the slope as follows:
m = (4--3) / (8-2) = (4+3) / (8-2) = 7/6
Answer:
m = -2
Step-by-step explanation:
y = -2x - 3
Answer:
d) 16x² -56x +49
Step-by-step explanation:
The square of a binomial difference will have the form ...
(ax -b)² = a²x² -2abx +b²
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The sign of the linear term will be negative, which eliminates choices A and C.
The linear term will be double the product of the roots of the other two terms.
In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.
Choice D factors as ...
16x² -56x +49 = (4x -7)² . . . . the square of a difference
Rate of change, or slope, or rise over run, or ‘m’ is the difference between a pair of y-coordinates over the difference between a pair of x-coordinates.
The formula for rate of change or slope is:
m=(y2-y1) / (x2-x1)
All we have to do is take two pairs of coordinates from the table and solve for the slope (m).
Let’s just choose the first two coordinates: (1, 5) and (2, 5).
m=(5-5) / (2-1)
m=(0)/(1)
m=0
So, the rate of change is 0; there is no rate of change. There is 0 rise per 1 unit of run.
Answer C
Step-by-step explanation:
