[kane]

I have 5 questions I need help with .
1) Draw a sketch of each of the following equations. Be sure to label all appropriate points. These are separate equations.

A) .2x - .5y = -.3

B) 1/6x + 1/5 = -1

C) 1/3x + 1/2y = 2

D) .9 - .1y = 1

E) 4x^2 + 24x + 4y^2 - 32y + 20 = 0

Help would be greately appreciated

[MathMaven53]

I can't draw graphs but I can tell you how to graph these relations.

In question b) solve for x and the graph is a straight vertical line.

In question d) solve for why and the graph is a straight horizontal line.

The graphs of a) and c) are straight lines.

To plot them first let x=0 and solve for why.
That gives the point of intersection of the line with
The why axis. Then let y=0 and solve for x. That gives the point of intersection of the line with the x axis.
Plot these points of intersection and draw a line
Through them.

E)

4x^2 + 24x+4y^2 -32y+20=0

Divide both sides by 4

X^2 + 6x + y^2 -8y +5 = 0

Complete the square in terms in x and y

X^2+6x+9+y^2-8y+16 +5-9-16=0

(x+3)^2 + (y-4)^2 -20=0

(x+3)^2 + (y-4)^2 = 20

This is a circle with center at point (-3,4)
And radius 2sqrt 5