We have a line y = x - 4 and we have to identify the slope m and the y-intercept b.
The slope, when the line is expressed in slope-intercept form, is the coefficient of x. In this case, the coefficient is 1, so the slope is m = 1.
The y-intercept b is the value of y when x = 0, so we can calculate it as:
The y-intercept is b = -4.
We can now graph the line identifying two points and drawing the line that passes through them.
We have one point at (0,-4). We can find another point by assigning a value to x, like x = 4, and finding the value of y:
So we have another point at (4,0).
We can plot these two points and then draw the line as:
Answer: m = 1 and b = -4.