Answer:
[tex]x-intercept:(-2,0)\\\\y-intercept:(0,-\frac{5}{2})[/tex]
Step-by-step explanation:
The y-intercept is where x is 0 (0,y)
The x-intercept is where y is 0 (x,0)
Insert 0 as the value for x to find the corresponding y value:
[tex]-5(0)-4y=10[/tex]
Simplify multiplication:
[tex]0-4y=10\\\\-4y=10[/tex]
Isolate the variable. Divide both sides by 4:
[tex]\frac{-4y}{4}=\frac{10}{4} \\\\-y=\frac{10}{4} \\\\-y=\frac{5}{2}[/tex]
Make the variable positive. Multiply both sides by -1:
[tex]-1(-y)=-1(\frac{5}{2})\\\\y=-\frac{5}{2}[/tex]
The y-intercept is at [tex](0,-\frac{5}{2})[/tex].
Insert 0 as the value for y to determine the value of x:
[tex]-5x-4(0)=10[/tex]
Simplify multiplication:
[tex]-5x-0=10\\\\-5x=10[/tex]
Isolate x. Divide both sides by 5:
[tex]\frac{-5x}{5} =\frac{10}{5} \\\\-x=2[/tex]
Multiply both sides by -1:
[tex]-1(-x)=-1(2)\\\\x=-2[/tex]
The x-intercept is at [tex](-2,0)[/tex].
:Done
