slope = $4$ y-intercept: $(0, -7)$ Refer to the graph below.
Work Step by Step
Solve for $y$: $4x-y=7 \\4x-y-4x=7-4x \\-y=-4x+7 \\-1(-y)=-1(-4x+7) \\y=4x-7$ This means that the given equation is equivalent to $y=4x-7$. RECALL: The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept. Thus, the equation $y=4x-7$ has a slope of $4$ and a y-intercept of $(0, -7)$. To graph the equation, perform the following steps: (1) Plot the y-intercept $(0, -7)$. (2) Use the slope to plot a second point. Since the slope is $4$, from $(0, -7)$, move 4 units down (the rise) and 1 unit to the right (the run) to reach the point $(1, -3)$. Plot $(1. -3)$. (3) Connect the points using a straight line. (Refer to the graph in the answer part above)