Answer:
x intercept is [tex](-\frac{5}{3} , 0)[/tex]
y intercept is [tex](0,\frac{5}{2} )[/tex]
Step-by-step explanation:
1.) turn the equation into slope intercept form, so...
When [tex](3x+2y=5)[/tex] then... [tex]y=-\frac{3x}{2} +\frac{5}{2}[/tex]
2.)When finding the x-intercept, then plug y=0 and solve for x.
[tex](0)= -\frac{3x}{2} +\frac{5}{2} \\(\frac{2}{3}) -\frac{5}{2} =-\frac{3x}{2} (\frac{2}{3} )\\-\frac{5}{3} =x[/tex]
3.) When finding the y-intercept, plug x=0 and solve for x.
[tex]y=-\frac{3(0)}{2} +\frac{5}{2}[/tex]
[tex]y=\frac{5}{2}[/tex]
