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

User Waescher
by
5.7k points

2 Answers

6 votes

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!

User Suzukimilanpaak
by
5.2k points
5 votes

Answer:

Final answer is
y=3x-13.

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.

User IMemon
by
5.5k points