Answer:
see explanation
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y + 6 = (x - 4)
Multiply through by 2 to eliminate the fraction
2y + 12 = 3(x - 4) ← distribute
2y + 12 = 3x - 12 ( subtract 2y from both sides )
12 = 3x - 2y - 12 ( add 12 to both sides )
24 = 3x - 2y, that is
3x - 2y = 24 ← in standard form
Answer:
9 cm.
Step-by-step explanation:
Let x be the number of hours.
We have been given that after a winter storm, the depth of the snow on cherry street was 10 cm. Then, the snow started melting at a rate of , so the snow melted in x hours will be
.
Since initially there was 10 cm of snow, so the depth of snow after x hours will be:
To find the depth of snow after 3 hours we will substitute in our expression.
Therefore, the depth of the snow on cherry street after 3 hours will be 9 cm.
Given parameters:
First point = (12, -5)
Second point = (10, -4)
Unknown:
Slope of the line = ?
Slope is simply the vertical rise divided by the horizontal distance.
Slope =
Simply to find slope;
Slope =
First point = (12, -5), x₁ = 12 and y₁ = -5
Second point = (10, -4), x₂ = 10 and y₂ = -4
Input the parameters:
Slope =
=
= -
The slope of the line is -