Question

What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?
y = negative 3 x minus 5
y = 3 x minus 5
y = negative 3 x + 5
y = 3 x + 5

Answer 1

Answer:

y = 3x + 5

Step-by-step explanation:

A line in slope-intercept form has the following format:

$y = mx+b$

Passes through point (2,11)

Means that when x = 2, y = 11. So

$y = mx+b$

$11 = 2m+b$

Passes through point (4,17)

Means that when x = 4, y = 17. So

$y = mx+b$

$17 = 4m+b$

From the first equation, $b = 11 - 2m$. So

$17 = 4m+b$

$17 = 4m + 11 - 2m$

$2m = 6$

$m = 3$

Then

$b = 11 - 2m = 11 - 2*3 = 5$

So the correct answer is:

y = 3x + 5

Answer 2

Answer:

d got right on edge

Step-by-step explanation: