Answered

Get the information you need with the help of IDNLearn.com's extensive Q&A platform. Discover in-depth and trustworthy answers to all your questions from our experienced community members.

Hi. I wanted know. Is my graph correct. If not please help meEquation of line: y+4=2/5(x-3)

Hi I Wanted Know Is My Graph Correct If Not Please Help MeEquation Of Line Y425x3 class=

Sagot :

The given equation of line is

[tex]y+4=\frac{2}{5}(x-3)[/tex]

Finding the x and y intercepts

For x intercept

When y = 0

This gives

[tex]\begin{gathered} 0+4=\frac{2}{5}(x-3) \\ 4=\frac{2}{5}(x-3) \\ 20=2x-6 \\ 20+6=2x_{} \\ 26=2x \\ x=\frac{26}{2} \\ x=13 \end{gathered}[/tex]

Hence, x intercept is (13, 0)

For y intercept

When x = 0

This gives

[tex]\begin{gathered} y+4=\frac{2}{5}(0-3) \\ y+4=\frac{2}{5}(-3) \\ y=\frac{-6}{5}-4 \\ y=\frac{-6-20}{5} \\ y=-\frac{26}{5} \\ y=-5.2 \end{gathered}[/tex]

Hence, y intercept is (0, - 5.2)

Using an online graphing calculator, the graph is as shown below

View image KeondreE630149
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.