Hi,

In order to graph these you need to first solve for y. Then you will know where the graph crosses the x and y axis and what the slope is. The slope is the coefficient in front of the x term. For example, for y=3/2x+4 the slope is 3/2 and it crosses the y axis at 4. Therefore, you would mark (0,4) and go up 3 spaces and over 2 and up 3 more spaces and over 2 and keep doing this until you see where the line goes.a.) y=3/2x+4

b.) 4x+2y-7=0

c.)2(x+y)=3x+y

d.)3(x+y)=x+3y+6

2What is the lines slope?.) Consider the line whoes equation in (x,y) is 5x+3y=4

WHat is the lines slope?

Find an equation for the parallel line through 3,2

Find an eqation for the perpendicular line through 3,2

The slope of the line is the coefficient of the x term. For example, in part a. the coefficient is 3/2. Therefore, the slope of the line is 3/2. For this one you have to first solve for y. Do you know how to do that?

Find an equation for the parallel line through 3,2

When two lines are parallel to each other, that means that the slopes are the same. Therefore, in order to solve this, you need to use the equation y=mx+b. Do you know how to use this equation?

You then need to plug in the (3,2) and the slope you found in part a.

Find an equation for the perpendicular line through 3,2

When a line is perpendicular to another line, that means that the slope is the negative inverse. You need to do the same exact thing that you did to answer the second question, only this time the slope is the negative reciprical.

I hope this helps

Regards