graph the line with the equation $y = x - 4$.
graph the line with the equation $y = x - 4$.
Answer
Answer:
To graph the line ( y = x - 4 ), we can use the slope - intercept form ( y=mx + b ), where ( m = 1 ) (slope) and ( b=-4 ) (y - intercept).
Explanation:
Step1: Plot the y - intercept
The y - intercept is ( b=-4 ). So, we plot the point ( (0,-4) ) on the coordinate plane.
Step2: Use the slope to find another point
The slope ( m = 1=\frac{\Delta y}{\Delta x} ). Starting from the point ( (0,-4) ), if we move ( \Delta x = 1 ) unit to the right (increase ( x ) by 1), then ( \Delta y=1 ) unit up (increase ( y ) by 1). So, we get the point ( (0 + 1,-4+1)=(1,-3) ).
Step3: Draw the line
Connect the points ( (0,-4) ) and ( (1,-3) ) with a straight line. This line represents the equation ( y=x - 4 ).