Question

Which statements are correct steps in finding the linear equation of a line that passes through the points (-1,7) and

Answer 1

Answer:

$7=-1\cdot (-1)+b$

$y-4=-1\cdot (x-2)$

$y-7=-1\cdot (x-(-1))$

$y=-x+6$

Step-by-step explanation:

Find the slope of the line that passes through the points (-1,7) and (2.4):

$\text{Slope}=\dfrac{7-4}{-1-2}=\dfrac{3}{-3}=-1$

So, the equation of the line is

$y-y_1=-1\cdot (x-x_1),$

where $(x_1,y_1)$ are the coordintaes of the point from the line

or

$y=-1\cdot x+b,$

where b is y-intercept.

To find b, substitute x = -1 and y = 7:

$7=-1\cdot (-1)+b\\ \\b=7-1=6\\ \\y=-x+6$

If $(x_1,y_1)=(-1,7),$ then

$y-7=-1\cdot (x-(-1))$

If $(x_1,y_1)=(2,4),$ then

$y-4=-1\cdot (x-2)$

So correct options are

$7=-1\cdot (-1)+b$

$y-4=-1\cdot (x-2)$

$y-7=-1\cdot (x-(-1))$

$y=-x+6$

Answer 2

Answer:

C. y – 4 = –1 (x – 2)

D. y – 7 = –1 (x – (–1))

F. y = –x + 6

Step-by-step explanation:

just took the test on edg2020 and it says C, D and F are the right answers