Question

graphing an equation in slope-intercept form
graph ( y = \frac{3}{4}x + 5 )
click or tap the graph to plot a point

Explanation:

Step1: Identify slope and intercept

The equation $y = \frac{3}{4}x + 5$ is in slope-intercept form $y=mx+b$, where slope $m=\frac{3}{4}$ and y-intercept $b=5$. This gives the first point $(0, 5)$.

Step2: Find second point using slope

Slope $\frac{3}{4}$ means $\frac{\text{rise}}{\text{run}} = \frac{3}{4}$. From $(0,5)$, move 4 right (run) and 3 up (rise): $x=0+4=4$, $y=5+3=8$. This gives the point $(4, 8)$.

Step3: Find third point (optional check)

From $(0,5)$, move 4 left and 3 down: $x=0-4=-4$, $y=5-3=2$. This gives the point $(-4, 2)$.

Answer:

Table of points:

$x$	$y$
$0$	$5$
$4$	$8$

To graph: Plot the points $(-4,2)$, $(0,5)$, and $(4,8)$, then draw a straight line through them.