Question

On separate diagram draw the graphs of the following equation and state gradient of 2y=3x

Answer 1

Shown in the diagram

Explanation:

We have the following equation:

$2y=3x$

But we can write the equation of this line in Slope-Intercept form:

$Dividing \ both \ sides \ of \ the \ equation \ by \ 2: \\ \\ \frac{2y}{2}=\frac{3x}{2} \\ \\ y=\frac{3}{2}x$

Recall that the Slope-Intercept form of the equation of a line is given by:

$y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept$

In this problem:

$b=0$

So the line passes through the origin with a slope of $m=\frac{3}{2}$

By using two point we can graph this line:

$First \ point: \\ \\ (0,0) \\ \\ \\ Second \ point: \\ \\ If \ x=1: \\ \\ y=\frac{3}{2}(1) \therefore y=\frac{3}{2} \\ \\ Point \ 2: \ (1,\frac{3}{2})$

Finally, by using graphing tools the graph is shown below.

Learn more:

Solving equations: brainly.com/question/13772036#

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