Question

Which linear function represents the line given by the point-slope equation y – 8 = (x – 4)?

f(x) = x + 4
f(x) = x + 6
f(x) = x – 10
f(x) = x – 12


answer is b

Answer 1

Choice A is correct answer.

Explanation:

We have given the point-slope form of the equation of line.

y – 8 = (x – 4)

We have to find linear function which represent the equation of line.

f(x) = mx+c is the slope-intercept of line where m is slope and c is y-intercept.

Adding 8 to both sides of given equation, we have

y-8+8 = (x-4)+8

y+0 = x-4+8

y = x+4

Putting y = f(x) in above equation , we have

f(x) = x+4 which is the answer.

Answer 2

Answer: FIRST OPTION

Explanation:

The slope intercept form of a linear equation is:

`y=mx+b`

Where m is the slope and b is the y-intercept.

Therefore, to solve the exercise you must solve for y from the point-slope equation given in the problem:

`y-8=x-4\\y=x-4+8\\y=x+4`

You can rewrite it as following:

`f(x)=x+4`