Question

For the function rule y = -2x - 3, provide the x-y coordinates of the y-intercept and the x-intercept.

Answer 1

Using the slope-intercept form formula you can find right away the coords of the y-intercept;
\[y=mx+b\]
Where m represents the slop and b represents the y-intercept.
\[y=-2x-3\]
The y-intercept would be the value of y when x=0, and similarly the x-intercept would be the value of x when y=0. So,

Let's do y-intercept first;
\[y=-2(0)-3\]
\[y=0-3\]\[y=-3\]
So when x is 0, y is -3. Using;\[(x, y)\]
The y-intercept is;
\[(0, -3)\]

Now to find the x-intercept;
\[0=-2x-3\]\[0+3=-2x-3+3\]\[3=-2x\]\[\frac{ 3 }{ -2 }=\frac{ -2x }{ -2 }\]\[-1.5=x\]
So, when y = 0, x = -1.5. Using;\[(x, y)\]The x-intercept would be;
\[(-1.5, 0)\]