We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope m. Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4$

Thus, the slope is -4.

Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

$y-y_1=m(x-x_1)$

Where (x1, y1) is a coordinate pair and m is the slope.

Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

$y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15$

This is also slope-intercept form. The answer is A.

7 0

3 years ago

Read 2 more answers

For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical

Paladinen [302]

well there is no triangle shown but assuming all the sides ar the same length youre answer would be 4 as well

hope i helped please mark as brainliest :)

3 0

3 years ago