How do you graph $y=1/5x-3$ by plotting points?

Question

13949 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-12T08:01:26

$" "$
Graphs are available for:
$color(blue)(f(x) = x, color(green)(f(x) = (1/5)*x and color(brown)(f(x)=[(1/5)*x]-3$
for easy comprehension.

$" "$
$color(green)("Step 1:"$

Examine the graph of $color(blue)(y=f(x)=x$

enter image source here

Slope-Intercept Form $y= mx+b$

This is of the form $y=1*x+0$ , where $Slope(m)=1$ and $"y-intercept"=0$

Remember that the Slope(m) is the constant ratio that compares the change in y values over the change in x values between any two points.

y-intercept ** is the coordinate point where the graph crosses the y-axis**.

$color(green)("Step 2:"$

Examine the graph of $color(green)(y=f(x)=(1/5)*x$

enter image source here

This graph is also in Slope-Intercept Form : $y=mx+b$ , where $Slope(m)=(1/5)$ and **y-intercept ** is $0$ .

$color(green)("Step 3:"$

First we will create a data table for $x$ and the corresponding $y$ values:

enter image source here

Construct the graph using these data values.

Examine the graph of $color(brown)(y=f(x)=(1/5)*x-3$

enter image source here

The equation is of $y=mx+b$ form:

$Slope(m)=1/5$ and y-intercept $=(0,-3)$

Hope you find this solution useful.

How do you graph y=1/5x-3y=1/5x-3 by plotting points?