Question

Find the slope and y-intercept of the line and draw its graph. (Lesson 1.10)

$2x-5y=0$

Short answer

Hence, the slope of the line is$\frac{2}{5}$ and y-intercept is 0 and the graph is

Step-by-step solution

Step 1. Definition of the slope-intercept form.

Point-intercept is the equation of a straight line in the form$y=mx+b$, where m is the slope and b is y-intercept.

Step 2. Find the slope.

We have$2x-5y=0$

First, convert into slope-intercept form:

Subtract $-2x$from both sides of the equation:

$\begin{array}{l}2x-5y-2x=0-2x\\ -5y=-2x\end{array}$

Divide both side by $-5$:

$y=\frac{2}{5}x$

Compare the equation with slope intercept form, we get

$m=\frac{2}{5}$, y-intercept: 0

Step 3. Draw the graph.

Now, interpret the slope as$\frac{\text{Rise}}{\text{Run}}$ and the then move accordingly to plot another point and draw the line through the two points

$\frac{\text{Rise}}{\text{Run}}=\frac{2}{5}$