Question

A student is attempting to find the equation of a line given a point and the slope. Which of the following statements best applies to the sample mathematical work shown below?
Given (10, –2) with a slope of –1, I find an equation for the line by plugging in values I'm given into a point-slope form equation. Thus I have y – (–2) = –1( x –10), which results in an equation of y = –x + 8.

Answer 1

Given (10, –2) with a slope of –1.

y + k = a(x + h)
(-2) + k = -((10) + h)
k = -8 - h ... cannot be solved

Answer 2

y = ax + b
(-2) = -(10) + b
b = 8

Answer 3

y - (-2) = -1(x - 10)
y + 2 = -x + 10
y = -x + 10 - 2
y = -x + 8

um...is there answer choices....because this statement is correct

Answer 4

so then you get

y = -x + 8

Answer 5

The student improperly set up the equation to find the y-intercept.
B.
The student used the correct equation to find the y-intercept. However, he did not solve for the y-intercept properly.
C.
The slope in the final equation is not correct.
D.
The mathematical work shown above is correct.

Answer 6

correct...although it could have been solved with just the slope intercept formula

Answer 7

soo its D?