Find a point on the line and the line's slope.
y+3=4(x+1)
point on the line: ?
slope:?

y+3=4(x+1)

y+3=4x+4

y=4x+(4-3)

y=4x+1

The slope is 4 and a point on the line is (-1,-3)

Step-by-step explanation:

Point slope form is

y-y1 =m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y+3=4(x+1)

y-  -3=4(x-  -1)

The slope is 4 and a point on the line is (-1,-3)

Given:

r = 3 sin 2θ
Find:   Graph that matches the polar equation   Solution:

Use the polar graph type in the graphing calculator and enter the following values: 3sin (2 theta).   Please see the attached image for the answer. The graph would look like butterfly wings.