Hello from MrBillDoesMath!
Answer: y - (-8) = (-14/11) (x -7) or y + 8 = (-14/11) (x-7)
Steps:
Let's call point (7, -8) (x1,y1) and point (-4,6) (x2,y2). The point slope equation of a line through (x1, y1) is
y- y1 = m(x-x1)
where "m" is the slope of the non-vertical line. Recall that m is rise/run or
m = (y2- y1)/(x2-x1).
In our case
m = (6 - (-8))/( -4 - 7) = (6 + 8)/ (-11) = - 14/11
The point-slope equation becomes
y - (-8) = (-14/11) (x -7)
This can be rewritten as y + 8 = (-14/11) (x-7)
As a final check, you should verify that this equation passes through the original points using substitution!
Regards, MrB.
Answer:
Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {},
For example, A = {1,2,3,4} is a set.
Answer:
<u>15x + 10.</u>
Step-by-step explanation:
To find the area of a rectangle, recall the formula is A = l × w. Therefore:
A = (3x + 2) (5)
Distribute the '5':
A = 15x + 10
Therefore, the area of the rectangle of <u>15x + 10.</u>
Answer:
d,b
Step-by-step explanation:
Let's solve for x.
15x−16y=60
Step 1: Add 16y to both sides.
15x−16y+16y=60+16y
15x=16y+60
Step 2: Divide both sides by 15.
15x
15
=
16y+60
15
x=
16
15
y+4
Answer:
x=66
Step-by-step explanation:
35-13=22
22*3=66
x=66
