Answer
point-slope form: $y-1=4(x-2)$
Refer to the image below for the graph.
Work Step by Step
(A)
To graph the line with the given point and slope (slope is $\dfrac{\text{rise}}{\text{run}}$), perform the following steps:
(1) Plot the point P(2, 1).
(2) Use the slope 4 to get another point on the line.
From $(2, 1)$, move 4 units upward (the rise) and 1 unit to the right (the run) to arrive at the point $(3, 5)$.
(3) Connect the two points using a straight line to complete the graph.
(B)
The slope-point form of a line's equation is $y-y_1 = m(x-x_1)$ where $m$= slope and $(x_1, y_1)$ is a point on the line.
With $m=4$ and $P(2, 1)$ on the line, the point-slope form of the equation of the line is:
$y-1=4(x-2)$
