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91Ó°ÊÓ

Graph the line that satisfies each set of conditions.

Passes through 0,3parallel to graph of 6y-10x=30.

Short Answer

Expert verified

The graph of the required line is:

Step by step solution

01

Step 1- Given information

A point (0,3)and an equation 6y-10x=30.

02

Step 2- Calculation

From given information,

A point (0,3)and 6y-10x=30

Here, x-intercept is:

6×0−10x=30⇒−10x=30⇒x=−3

y- intercept is:

6y−10×0=30⇒6y=30⇒y=5

Therefore, the line goes to 5 units up and 3 units right then.

So, the slope of the line is 53

We get a new point 3,8.

Now we draw the line which is contained both the points (0,3) and 3,8.

03

Step 3- Graph of the line

The graph of the required line is:

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