Question 100247
Ok first when asked to find the intercepts of a line, what is being asked is where does the line cross the x axis and where does the line cross the y axis.
To find the x intercept you must plug in zero for y in your equation
So
y=-5x
replace y with zero
0=-5x
divide both sides by -5
0=x
This shows us that the line y=-5x will cross the x axis at zero
Now lets see where the line crosses the y axis
To find the y intercept you must plug in zero for the x in your equation
y=-5x
replace x with zero
y=-5(0)
multiply -5 and zero
y=0
This shows that the line y=-5x will cross the y axis at zero too
Here is a a graph of the line showing that it crosses both x and y axis at zero
{{{ graph( 300, 300, -5, 5, -5, 5, -5x) }}}