Question

Which equation in slope intercept form contains the point (4, -1) and has a slope of 3

Answer 1

Answer:

Final answer is $y=3x-13$.

Step-by-step explanation:

Given that slope of the line is m=3

Plug the given point (4,-1) and the slope m=3 into point sloep formula:

$y-y_1=m\left(x-x_1\right)$

$y-(-1)=3\left(x-4\right)$

$y+1=3\left(x-4\right)$

$y+1=3x-12$

$y=3x-12-1$

$y=3x-13$

Which looks like slope intercept form of line y=mx+b

Hence final answer is $y=3x-13$.

Answer 2

Hello!

The answer is:

The equation in slope-intercept form is:

$y=3x-13$

Why?

To solve the problem and find equation in slope-intercept form of the line, we need to use the following formula:

$y=mx+b$

We are given the slope of the line, so, rewriting we have:

$y=3x+b$

Then, to find "b" we need to substitute the given point into the equation, so, substituting we have:

$y=mx+b$

$-1=3*(4)+b$

$-1=12+b$

$b=-1-12=-13$

Therefore, writing the equation of the line, we have:

$y=3x-13$

Have a nice day!