Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

A line passes through the point (-5,-1) and has a slope of 4
write an equation in slope intercept form for this line

Sagot :

Hello.

We have a point that the line passes through:

[tex]\mathrm{(-5,-1)}[/tex]

We also have the line's slope:

[tex]\mathrm{4}[/tex]

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:

[tex]\mathrm{y-y1=m(x-x1)}[/tex]

Plug in the values:

[tex]\mathrm{y-(-1)=4(x-(-5)}[/tex]

[tex]\mathrm{y+1=4(x+5)}[/tex]

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

[tex]\mathrm{y+1=4x+20}[/tex]

Move 1 to the right:

[tex]\mathrm{y=4x+20-1}[/tex]

Subtract:

[tex]\mathrm{y=4x+19}[/tex]

Now we have the equation in slope-intercept form.

Therefore, the answer is

[tex]\mathrm{y=4x+19}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

BasketballEinstein

Answer:

[tex]\displaystyle y = 4x + 19[/tex]

Step-by-step explanation:

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

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

I am joyous to assist you at any time.

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.