Question

Find the Y-intercept and x-intercept of the line: 4x- 6y=21

Answer 1

Answer:

Step-by-step explanation:

4x-6y=21

divide by 21

$\frac{4x}{21} -\frac{6y}{21} =1\\or~\frac{x}{\frac{21}{4} } +\frac{y}{-\frac{7}{2} } =1\\x~intercept =\frac{21}{4} =5.25 \\y~intercept=-\frac{7}{2} =-3.5$

Answer 2

Answer:

Step-by-step explanation:

To find the y-intercept, let x = 0 and solve the remaining equation for y:

4x - 6y = 21 => 4(0) -6y = 21, or  y = -21/6, or (after reduction) y = -7/2.  Thus the y-intercept is (0, -7/2).

To find the x-intercept, set y = 0 and solve for x:

4x - 6y = 21   =>  4x = 21  =>  x = 21/4.  The x-intercept is (21/4, 0).