Answer
point-slope form: $y-4=-\dfrac{3}{4}(x-2)$
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, 4).
(2) Use the slope $-\dfrac{3}{4}$ to get another point on the line.
From $(2, 4)$, move 3 units downward (the rise) and 4 units to the right (the run) to arrive at the point $(6, 1)$.
(3) Connect the two points using a straight line to complete the graph.
(refer to the attached image below)
(B)
The point slope 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 $m=-\dfrac{3}{4}$ and $P(2, 4)$ on the line, the point-slope form of the equation of the line is:
$y-4=-\dfrac{3}{4}(x-2)$
