Using graphing paper, determine the line described by the given point and slope (2,-4) and -3/2

y = -1.5x - 1  

Step-by-step explanation:

1. Plot the point (2, -4) on the graph

2. Plot a second point on the graph

Slope = -1.5

When x increases one unit, y decreases 1.5 units.

Let's increase x by 2 units. Then y decreases by three units.

Find the point two units to the right of (2, -4) and three units down.

It's (4, -7).

Draw a line through the two points.

3. Write the equation for the graph

The general formula for a straight line is y =mx + b.

m = -1.5, so  

y = -1.5x + b

The y-intercept is the value of y when x = 0.

We see from the graph that the y-intercept is at (0, -1), so b = -1.

The equation of the graph is

y = -1.5x - 1

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

-81 -56 -27 0 81

step-by-step explanation: