Identify the intercepts of the line. 3x+2y=12
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Answer:
The x-intercept is ( 4 , 0 ) .
The y-intercept is ( 0, 6 ) .
Step-by-step explanation:
his is the formula for a linear equation in standard form. This is the easiest equation for finding the intercepts. To find the x- and y-intercepts, substitute 0 for one variable, and solve for the other.
X-intercept: value of x when y = 0
Substitute 0 for y and solve for x .
3 x + 2 ( 0 ) = 12
3 x = 12
Divide both sides by 3 .
x = 12 /3
x = 4
The x-intercept is ( 4, 0 ) .
Y-intercept: value of y when x= 0
Substitute 0 for x and solve for y .
( 0 ) + 2 y = 12
2 y= 12
Divide both sides by 2 .
y = 12 /2
y = 6
The y-intercept is ( 0 , 6 ) .
These are the intercepts.