Suppose that the given line has a slope of -2/3 and a y-intercept of (0,5/3). which of the following points is also a solution to the line? select all apply
a. (5,5/3)
b. (1,1)
c. (4,-1)
d. (-3,7)
e. (0,0)

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the data we have to:

Thus, the equation is:

We evaluate each point:

It is not fulfilled!

Is fulfilled!

Is fulfilled!

It is not fulfilled!

NOT fulfilled!

The points that belong are:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°