Write an equation in point-slope form of the line that passes through the point (-1,-4) and has a slope of m=-2

y = -2x +6

Step-by-step explanation:

Need to find b, we have 2 points (0,b), (-1,-4) and a slope m = -2

m = (y2 - y1) / (x2 -x1)

-2 = (-4 - b) / (-1 - 0)

Solve for b

-2(-1 - 0) = -4 - b

2 = -4 - b

2 + 4 = b

6 = b

b = 6

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.

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.