Answer:
Check photo
Step-by-step explanation:
It is is important to be really careful with negative signs, which is why I multiple the last two expressions together and then multiple through with the negative. It makes it a lot easier.
Answer:
What is part 1?
Step-by-step explanation:
Answer:
<u>y = x + 7</u>
Step-by-step explanation:
Calculate the slope of a line that passes through (-2,5) and (1,8). The slope is the Rise/Run between the 2 points:
Rise = (8 - 5) or 3.
Run = (1-(-2)) = 3
Rise/Run, the slope m, is 3/3 or 1.
The equation can be written as y = 1x + b.
We need to find a value of b that forces the line though both points. Do that by entering one of the two points into y = 1x + b and solve for b. I'll use point (1,8)
y = x + b
8 = 1 + b
b = 7
The equation becomes <u>y = x + 7</u>
See the attached graph.
Step-by-step explanation:
the diagonals of a parallelogram are crossing each other exactly at their midpoints. that means the lengths of both sides of a diagonal are equal.
so, we get
x = 7y - 16
and
2x + 5 = 5y
we can use the first equation as an identity directly in the second equation and get
2(7y - 16) + 5 = 5y
14y - 32 + 5 = 5y
14y - 27 = 5y
9y - 27 = 0
9y = 27
y = 3
x = 7y - 16 = 7×3 - 16 = 21 - 16 = 5