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saw5 [17]
2 years ago
14

A line passes through the point (-5,-1) and has a slope of 4

Mathematics
2 answers:
swat322 years ago
8 0

Answer:

\displaystyle y = 4x + 19

Step-by-step explanation:

Plug the information into the Slope-Intercept Formula like so:

\displaystyle y = mx + b \\ \\ -1 = 4[-5] + b \hookrightarrow -1 = -20 + b; 19 = b \\ \\ \\ \boxed{y = 4x + 19}

I am joyous to assist you at any time.

vesna_86 [32]2 years ago
5 0

Hello.

We have a point that the line passes through:

\mathrm{(-5,-1)}

We also have the line's slope:

\mathrm{4}

Right now, we do not have enough information to write the equation of the line in slope-intercept form. We need to know the slope and the y-intercept. We do know the slope, but we do not know the y-intercept...yet.

We do have enough information to write the line's equation in Point-Slope Form:

\mathrm{y-y1=m(x-x1)}

Plug in the values:

\mathrm{y-(-1)=4(x-(-5)}

\mathrm{y+1=4(x+5)}

Use the Distributive Property (a(b+c)=ab+ac) :

\mathrm{y+1=4x+20}

Move 1 to the right:

\mathrm{y=4x+20-1}

Subtract:

\mathrm{y=4x+19}

Now we have the equation in slope-intercept form.

Therefore, the answer is

\mathrm{y=4x+19}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

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