Answer:

Step-by-step explanation:
The point-slope formula is
. When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute
,
, and
for real values.
1) First, find
, or the slope. Use the slope formula
and substitute the x and y values of the given points. Then, solve:

Therefore, the slope of the line is -10.
2) Now, substitute the needed real values into the point-slope formula,
. Since
represents the slope, substitute -10 in its place. Since
and
represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:


The mistake is in Step 1. The solver should have also squared
when squaring the other side of the equation.
<h3>Correctly solving</h3>

Answer:
1 : 8
Step-by-step explanation:
For similar figures with ratio of sides = a : b
Then ratio of areas = a² : b² and
ratio of volumes = a³ : b³
Given ratio of areas = 1 : 4
linear ratio =
:
= 1 : 2
ratio of volumes = 1³ : 2³ = 1 : 8
Answer: None
Step-by-step explanation:
y=0 and y=-5 don't have any solutions. When you ask if a pair of equations have a solution, that means there is an intersection of the equations. The 2 equations will meet somewhere, and that is the solution. To find the solution, you set the equations equal to each other.
0≠-5
It is obvious that 0 and -5 are not equal to each other. Therefore, there is no solution. Also, y=0 and y=-5 are horizontal lines that are parallel to each other. They will never meet, which means there will be no intersection. No intersection means no solutions.
Answer:2
Step-by-step explanation: