Which pair of angles must be supplementary
2 answers:
Answer:
B.
Step-by-step explanation:
We have been given an image of intersecting lines. We are asked to find the pair of angles that must be supplementary.
We know that two angles are supplementary when they add up-to 180 degrees.
Upon looking at our given image, we can see that the measure of angle 2 and measure of angle 5 is 90 degrees. So these angles will add up-to 180 degrees, therefore, option B is the correct choice.
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Answer:
y=-4x-3
Step-by-step explanation:
Hi there!
We are given the following two points: (-2,5) and (-1,1)
We want to write the equation of the line that passes through these two lines in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, let's find the slope
The formula for the slope (m) calculated from 2 points is , where
and
are points
We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion
Now substitute into the formula
m=
m=
Simplify
m=
Subtract
m=
Divide
m=-4
Now substitute -4 as m into the equation:
y=-4x+b
Now we need to find b
As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.
Taking (-2,5) for example:
Substitute -2 as x and 5 as y:
5=-4(-2)+b
Multiply
5=8+b
Subtract 8 from both sides
-3=b
Substitute -3 as b.
y=-4x-3
Hope this helps!
See more on this topic here: brainly.com/question/27304092