Respuesta :

lublana

Answer:

Final answer is [tex]y=3x-13[/tex].

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:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-(-1)=3\left(x-4\right)[/tex]

[tex]y+1=3\left(x-4\right)[/tex]

[tex]y+1=3x-12[/tex]

[tex]y=3x-12-1[/tex]

[tex]y=3x-13[/tex]

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

Hence final answer is [tex]y=3x-13[/tex].

mixter17

Hello!

The answer is:

The equation in slope-intercept form is:

[tex]y=3x-13[/tex]

Why?

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

[tex]y=mx+b[/tex]

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

[tex]y=3x+b[/tex]

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

[tex]y=mx+b[/tex]

[tex]-1=3*(4)+b[/tex]

[tex]-1=12+b[/tex]

[tex]b=-1-12=-13[/tex]

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

[tex]y=3x-13[/tex]

Have a nice day!

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