Question

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?

Answer 1

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

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.

Answer 2

First rewrite the equation in slope intercept form

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

`\sf \rightarrow 5x - 3y = 18`

`\sf \rightarrow - 3y = 18-5x`

`\sf \rightarrow y = (-5x+18)/(-3)`

`\sf \rightarrow y = (-5x)/(-3) + (18)/(-3)`

`\sf \rightarrow y = (5)/(3)x -6`

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

• slope:
  `\sf (5)/(3)` and y-intercept:
  `\sf -6`

x-intercept: ( then y will be 0 )

`\sf \hookrightarrow (5)/(3)x -6=0`

`\sf \hookrightarrow (5)/(3)x=6`

`\sf \hookrightarrow x=(18)/(5)`

`\sf \hookrightarrow x = 3.6`

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: