Answer:
Option 1 st is correct
Step-by-step explanation:
Given the equation:
[tex]2x+3y = 24[/tex] .....[1]
To graph this equation.
Find intercept for this equation:
x-intercept:
The line that crosses the x-axis.
Substitute y=0 in [1] and solve for x.
then;
[tex]2x+3(0) = 24[/tex]
⇒[tex]2x = 24[/tex]
Divide both sides by 2 we have;
[tex]x = 12[/tex]
x-intercept = (12, 0)
y-intercept:
The line crosses the y-axis.
Substitute x = 0 in [1] and solve for y.
[tex]2(0)+3y = 24[/tex]
⇒[tex]3y= 24[/tex]
Divide both sides by 3 we have;
[tex]y = 8[/tex]
y-intercept = (0, 8)
Using intercepts point:
we plot the given line [tex]2x+3y = 24[/tex] as shown below.
