Answered

IDNLearn.com: Your reliable source for finding precise answers. Join our platform to receive prompt and accurate responses from experienced professionals in various fields.

What is an equation of the line that passes through the points (4,7) and (2,-1)? Answer in fully reduced form.

Sagot :

The eqaution of a line between two points is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Plugging our points we have:

[tex]\begin{gathered} y-(-7)=\frac{-1-(-7)}{2-4}(x-4) \\ y+7=\frac{6}{-2}(x-4) \\ y+7=-3(x-4) \\ y+7=-3x+12 \\ y=-3x+12-7 \\ y=-3x+5 \end{gathered}[/tex]

Therefore the equation is:

[tex]y=-3x+5[/tex]

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.