In the line y - 3 = -2 (x+5), which of the following are true? a) the point (-5,3) is on the line
b) the pont (5,-3) is on the line
c) the slope is 3
d) the slope is -2
e) the y-intercept is -7

Options a, d and e

Step-by-step explanation:

We check the validity of each of the options.

Kindly note that we can express the equation fully and we have;

y-3 = -2x-10

y = -2x -10 + 3

y = -2x -7

So let’s now evaluate the options.

(a) Insert the value of x at this point, if it gives the value of y, then it’s on the line

the value of x to insert is -5 here.

Thus ; y = -2(-5)-7 = 10-7 = 3

since y is 3, then it is on the line

(b) same as a

insert x = 5

y = -2x-7

y = -2(5) -7

y = -10-7 = -17

This is definitely not on the line as the value of y gotten does not correlate with what was given

c. To get this , compare with the standard form of

y = mx + c

where m is slope

Here our m is -2 , so this is definitely wrong

d) From above , we can see that this is correct

e) compare this with y = mx + c

c is our intercept and this is equal to -7 which makes this option also correct

answer: b.36 feet

step-by-step explanation: