Question

Graph the line that represents a proportional relationship between yyy and xxx where the unit rate of change of yyy with respect to xxx is \,\dfrac{3}{8}
8
3
​
start fraction, 3, divided by, 8, end fraction . In other words, a change of 111 unit in xxx corresponds to a change of \,\dfrac{3}{8}
8
3
​
start fraction, 3, divided by, 8, end fraction units in yyy.
Graph the line and write the equation of the line.
















The equation is
grath

Answer 1

Given

Change of y with respect to x is $\dfrac{3}{8}$

To find

Equation of the line with the given relation

Solution

The slope of the line is $\dfrac{3}{8}$.

A line is represented by the general equation $y=mx+c$

where

m = Slope of the line

c = y intercept

Here

$m=\dfrac{3}{8}$

$c=0$

1 unit change in x is $\dfrac{3}{8}$ change in y

$y=\dfrac{3}{8}\times 1=\dfrac{3}{8}$

So, the line is represented by $y=\dfrac{3}{8}x$.