Answer :
Answer:
[tex]7=-1\cdot (-1)+b[/tex]
[tex]y-4=-1\cdot (x-2)[/tex]
[tex]y-7=-1\cdot (x-(-1))[/tex]
[tex]y=-x+6[/tex]
Step-by-step explanation:
Find the slope of the line that passes through the points (-1,7) and (2.4):
[tex]\text{Slope}=\dfrac{7-4}{-1-2}=\dfrac{3}{-3}=-1[/tex]
So, the equation of the line is
[tex]y-y_1=-1\cdot (x-x_1),[/tex]
where [tex](x_1,y_1)[/tex] are the coordintaes of the point from the line
or
[tex]y=-1\cdot x+b,[/tex]
where b is y-intercept.
To find b, substitute x = -1 and y = 7:
[tex]7=-1\cdot (-1)+b\\ \\b=7-1=6\\ \\y=-x+6[/tex]
If [tex](x_1,y_1)=(-1,7),[/tex] then
[tex]y-7=-1\cdot (x-(-1))[/tex]
If [tex](x_1,y_1)=(2,4),[/tex] then
[tex]y-4=-1\cdot (x-2)[/tex]
So correct options are
[tex]7=-1\cdot (-1)+b[/tex]
[tex]y-4=-1\cdot (x-2)[/tex]
[tex]y-7=-1\cdot (x-(-1))[/tex]
[tex]y=-x+6[/tex]
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