Answered

Get the best answers to your questions with the help of IDNLearn.com's experts. Discover detailed answers to your questions with our extensive database of expert knowledge.

What is an equation of the line that passes through the points (-6,-5) and
(-2, 3)

Sagot :

Nonportritidn

Answer:

[tex]y=-0.500x+2[/tex]

Step-by-step explanation:

Given the following question:

point A = (-6, 5)
point B = (-2, 3)

To find the equation of the line we have to find the slope intercept, where m is the slope of the given line.

Formula for slope intercept:

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

First, we need to fine the slope of the given points because m is the slope.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{3-5}{2--6} =\frac{-2}{4} =-0.500[/tex]
[tex]m=-0.500[/tex]

[tex]y=mx+b[/tex]
[tex]y=5[/tex]
[tex]m=-0.500[/tex]
[tex]x=-6[/tex]
[tex]5=-0.500(-6)+b[/tex]
[tex]-0.500\times-6=3[/tex]
[tex]5=3+b[/tex]
[tex]5-3=2[/tex]
[tex]2+b[/tex]
[tex]b=2[/tex]

[tex]y=-0.500x+2[/tex]

Hope this helps.

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.