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