To find the x intercept, we must set y=0 and solve for x
0=−4−4x→4=−4x→−1=x
We found that x=−1 so our x-intercept is at (−1,0)
Note: The x-intercept is where our function crosses the x-axis
To find the y-intercept, we must set x=0 and solve for y
y=−4−4(0)→y=−4
We found that y=−4 so our x-intercept is at (0,−4)
Note: The y-intercept is where our function crosses the y-axis. Also, we didn't have to find the y-intercept this way because In any linear function the y-intercept is always the constant (or b) in the equation y=mx+b
Now that we have both s our x & y intercepts we can graph this (see graph).
Note that our slope is −4 since the slope is the coefficient (or m) in the equation y=mx+b
I hope this was helpful and that you understand the topic a little better now!
