Question

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Answer 1

Answer:

x intercept is $(-\frac{5}{3} , 0)$

y intercept is $(0,\frac{5}{2} )$

Step-by-step explanation:

1.) turn the equation into slope intercept form, so...

When $(3x+2y=5)$ then... $y=-\frac{3x}{2} +\frac{5}{2}$

2.)When finding the x-intercept, then plug y=0 and solve for x.

$(0)= -\frac{3x}{2} +\frac{5}{2} \\(\frac{2}{3}) -\frac{5}{2} =-\frac{3x}{2} (\frac{2}{3} )\\-\frac{5}{3} =x$

3.) When finding the y-intercept, plug x=0 and solve for x.

$y=-\frac{3(0)}{2} +\frac{5}{2}$

$y=\frac{5}{2}$