Solution:
<u>Step-1: Find the slope of the line.</u>
Formula of slope: y₂ - y₁/x₂ - x₁
- y₂ - y₁/x₂ - x₁ = Slope
- => -2 - (-5)/-8 - (-4) = Slope
- => -2 + 5/-8 + 4 = Slope
- => 3/-4 = Slope
<u>Step-2: Use the point slope formula to determine the slope.</u>
Point slope form formula: y - y₁ = m(x - x₁)
- y - y₁ = m(x - x₁) = Equation of line
- => y - (-5) = -3/4{x - (-4)} = Equation of line
- => y + 5 = -3/4{x + 4} = Equation of line
- => y + 5 = -3x/4 - 3 = Equation of line
- => y = -3x/4 - 8 = Equation of line
The equation of the line is <u>y = -3x/4 - 8.</u>
Hi there! You are provided with two points, this is all you need to calculate the line's slope.
The equation for slope is:
Slope: -2/4
Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.
y - 10 = -2/4(x - 3)
Write the equation in slope-intercept form (y=mx+b)
A) -2/4
B) y - 10 = -2/4(x - 3)
C) y = -2/4x + 11.5
Answer:
5/20 or 25% probability of winning $1,000,000
Step-by-step explanation:
How many numbered balls do they need to win?
5
How many balls are there?
20
Therefor your answer is (balls need to win/number of balls).
Answer:
Step-by-step explanation:
<em>Find the equation of the dashed line</em>
The line pass through the points
-----> is the y-intercept of the line
Find the slope of the line m
The formula to calculate the slope between two points is equal to
substitute the values
Remember that
The equation of the line into slope intercept form is equal to
we have
substitute
<em>Find the inequality</em>
we know that
The solution of the inequality is the shaded area below the dashed line
so
Answer:
22.459 pounds of wood
Step-by-step explanation:
Total amount of wood in store = amount of pine wood purchased + amount of cedar in the store
Total amount of wood in store = 13.145 pine wood + 16.903 cedar wood
Total amount of wood in store = 30.048 pounds of wood
If acme lumber had sold 7.589 pounds of lumber after 6 months, the amount of pounds of woods that the company have left to sell = Total amount in store initially - amount sold after 6 months
Amount of pounds of woods that the company have left to sell = 30.048 - 7.589
The amount of pounds of woods that the company have left to sell = 22.459 pounds of wood
