paynelove19
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Identify the slope and y-intercept of each of the following lines. Then graph each line.
5x - 3y = 18
Do I put the answer on the attached graph?

Identify the slope and yintercept of each of the following lines Then graph each line 5x 3y 18 Do I put the answer on the attached graph class=

Respuesta :

norat42451

Answer:

Yes, but you have to write what the slope and y-intercept of the equation is as well.

Step-by-step explanation:

(Not sure if you wanted the full answer or just if you should graph it but I'm putting it here anyways :^P)

First convert the equation from standard form to slope-intercept form.

5x-3y=18 -> 5x-18-3y -> 5/3x-6=y

5/3x is the slope and 6 is the y-intercept!

Then graph the equation.

fieryanswererft

First rewrite the equation in slope intercept form

slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]

[tex]\sf \rightarrow 5x - 3y = 18[/tex]

[tex]\sf \rightarrow - 3y = 18-5x[/tex]

[tex]\sf \rightarrow y = \dfrac{-5x+18}{-3}[/tex]

[tex]\sf \rightarrow y = \dfrac{-5x}{-3} + \dfrac{18}{-3}[/tex]

[tex]\sf \rightarrow y = \dfrac{5}{3}x -6[/tex]

comparing with y = mx + b, Here we can identify that the

  • slope:  [tex]\sf \frac{5}{3}[/tex]     and  y-intercept: [tex]\sf -6[/tex]

x-intercept:          ( then y will be 0 )

[tex]\sf \hookrightarrow \dfrac{5}{3}x -6=0[/tex]

[tex]\sf \hookrightarrow \dfrac{5}{3}x=6[/tex]

[tex]\sf \hookrightarrow x=\dfrac{18}{5}[/tex]

[tex]\sf \hookrightarrow x = 3.6[/tex]

In order to graph the line

  • First put the x = 3.6 in the x axis
  • Secondly put y = -6 in the y axis
  • Then using a scale/ruler draw a straight line through this points.

Graph:

Ver imagen fieryanswererft