Question

Identify the slope and y-intercept of each of the following lines. Then graph each line.

Answer 1

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.

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 ]

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

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

$\sf \rightarrow y = \dfrac{-5x+18}{-3}$

$\sf \rightarrow y = \dfrac{-5x}{-3} + \dfrac{18}{-3}$

$\sf \rightarrow y = \dfrac{5}{3}x -6$

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

• slope:  $\sf \frac{5}{3}$     and  y-intercept: $\sf -6$

x-intercept:          ( then y will be 0 )

$\sf \hookrightarrow \dfrac{5}{3}x -6=0$

$\sf \hookrightarrow \dfrac{5}{3}x=6$

$\sf \hookrightarrow x=\dfrac{18}{5}$

$\sf \hookrightarrow x = 3.6$

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: