Which is the correct choice.

Mathematics

1 answer:

PtichkaEL [24]3 years ago

8 0

A

Rate of change is another way to say slope. To find the slope of a line, use this formula:
m = (y2-y1)/(x2-x1) where m is the slope, and (x1, y1) and (x2, y2).

To find the slope of the function in the table, take two coordinates (I’ll use (-1, 5) and (1,9)) and plug them into the slope formula.

m = (9-5)/(1+1) = 4/2 = 2

The slope/rate of change equals 2. The only equation in the answer choices where the slope is 2 is A, so A is the answer

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line m contains the points -3,4 and 1,0. write the equation of a line that would be perpendicular to this one and pass through t

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The equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6) in point slope form is y = x + 8

<h3>Solution:</h3>

Given that line m contains points (-3, 4) and (1, 0)

We are asked to find the equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6)

Let us first find slope of the line "m"

Given two points are (-3, 4) and (1, 0)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$\left(x_{1}, y_{1}\right)=(-3,4) \text { and }\left(x_{2}, y_{2}\right)=(1,0)$

$m=\frac{0-4}{1-(-3)}=-1$

Thus slope of line m is -1

We know that product of slope of given line and perpendicular line are always -1

So, we get

$\begin{array}{l}{\text { slope of line } m \times \text { slope of perpendicular line }=-1} \\\\ {-1 \times \text { slope of perpendicular line }=-1} \\\\ {\text { slope of perpendicular line }=1}\end{array}$