What is the slope of a line perpendicular to the line whose equation is y= -2/3x -5

Step-by-step explanation:

Hi there!

In the given equation, , the slope of the line is .

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The reciprocal of (which is the same as 2) is . The negative of is .

Example 2: The negative reciprocal of is .

Using this logic, we can determine that the negative reciprocal of is . Therefore, the slope of a line perpendicular to the line whose equation is would be .

I hope this helps!

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.