Question

Describe the graph of this inequality: 3x + 2y < 4

Make sure your answer includes these things:

a) Slope of the line

b) y-intercept

c) Type of line (dotted or solid)

d) Direction of shading

Answer 1

first lets look at the symbol.
it is dotted because you don't have an equal sign.

Answer 2

next let us look at the slope.

take the 3x to the other side of the equal sign and make it negative and then divide by two

Answer 3

your slope will be -3/2

Answer 4

since you divided the 4 by 2 your y intercept will be 2.

Answer 5

then choose a point on one side or the other and determine if the equation is true. If true shade it if not shade the other side.

Answer 6

thank you so much!