Graph the slope-intercept equation y=mx+b
y= -3x - 6

I currently don’t have any paper on me to graph it for you, but I am able to give you coordinates.

Explanation:

When given an equation in the form y=Mx+b, we can immediately get the x-intercept and y-intercept.

To get the x intercept:
Make y=0

0=-3x-6
-2=x

So your coordinates are (-2;0)

To get the y intercept:
It is the b value

y=-6

So your coordinates are (0;-6)

Plot those on your graph and draw a line through them, write the equation next to the line and put an arrow on either end of the line.

Hope this helps! Feel free to comment for any questions you may have.

The equation of a circle with center at , radius of units is

Further explanation:

A circle is defined as a locus of all such points which are equidistant from a particular point called the center.

The standard equation of a circle of radius units and the center at is as follows:

Label the above equation as equation (1).

                     (1)

It is given that the center of the circle is and the radius of the circle is units.

Since, the center of a circle is represented as and the radius is represented as . So, the value of is , value of is and the value of is units.

To obtain the equation of the circle substitute for , for and for in equation (1).

Figure 1 (attached in the end) represents the graph of the circle .

Therefore, the equation of a circle with center at , radius of units is .

Learn more:

1.A problem to complete the square of quadratic function

2.A problem to determine the slope intercept form of a line  

3.Inverse function  

Answer details

Grade: High school

Subject: Mathematics  

Chapter: Circle

Keywords: Circle, equation, locus, points, radius, center, equidistant, equation of circle, geometry, (x+3)2+(y+5)2=36,  (-3,-5), radiius 6 units.