Write the equation of a line that is parallel to
x
=
−
5
x=−5x, equals, minus, 5 and that passes through the point
(
1
,
4
)
(1,4)left parenthesis, 1, comma, 4, right parenthesis.
what is the equation

Step-by-step explanation:

Given:

The equation of the given line is .

A line of the form , where is a constant, is a line parallel to y axis and has x-intercept equal to .

Here, the line is parallel to y axis and has x-intercept equal to -5.

Now, another line is parallel to the line , so this line is also parallel to y axis.

This line also passes through the point . So, the x-intercept will be equal to the x co-ordinate of the point .

Therefore, the equation of the line passing through the point and parallel to the line is .

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.