Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Match the pair of points with the slope of the line that joins them. (4,7) and (6,2)

Sagot :

We need to find the equation of the line that joins the points ( 4 , 7 ) and ( 6 , 2 )

The general equation of the line is ;

[tex]y=m\cdot x+b[/tex]

where m is the slope and b is y - intercept

the slope = Rise/Run

Rise = 7 - 2 = 5

Run = 4 - 6 = -2

so, the slope :

[tex]m=\frac{5}{-2}=-2.5[/tex]

So, the equation of the line :

[tex]y=-\text{2}.5x+b[/tex]

Using any point from the given points to find the value of b

So, using ( 4 , 7 )

when x = 4 , y = 7

[tex]\begin{gathered} 7=-2.5\cdot4+b \\ 7=-10+b \\ b=7+10 \\ b=17 \end{gathered}[/tex]

So, the equation of the line is:

[tex]y=-2.5x+17[/tex]

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.