Through: (1,-1), parallel to y = -3

The equation of a line parallel to the line and passing through (1, -1) is:

Step-by-step explanation:

Given the line

y = -3

We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept

Thus, the slope of the equation y=-3 will be m = -3

We know that the parallel lines have the same slopes.

Thus, the slope of the parallel line will also be -3.

Thus, using the point-slope form to find the line equation is

substituting the values m = -3 and the point (1, -1)

y-(-1) = -3(x-1)

y+1 = -3x+3

y=-3x+3-1

y=-3x+2

Thus, the equation of a line parallel to line and passing through (1, -1) is:

72 is the answer to this problem

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.