Answer:
An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.
An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.
Step-by-step explanation:
The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.
The property where you multiply ig
Answer: 16 quarts.
Step-by-step explanation:
1 quart = 1/4 gallon.
4 quarts = 1 gallon.
If you have 4 gallons, then you need to multiply 4 by 4, because every gallon is equal to 4 quarts.
4 x 4 = 16.
Therfore, there are 16 quarts in 4 gallons.
First, solve for the slope. This can be found by looking at the y and x intercepts. At x = 0, y = 1.5. At x = 2, y = 0.
Slope is defined as Δy/Δx, or the change in y over the change in x. This means that in order to calculate the slope, you must find the difference between the values of y and divide it by the difference in the values of x for the two points to determine the slope between them.
(0 - 1.5)/(2-0) = (-1.5)/2 = -0.75 or -3/4
Now that you have the slope, we can write the equation in slope intercept form, y = mx + b, where m is the slope we calculated and b is the y intercept, 1.5.
y = (-3/4)x + 1.5
Answer:
the formulae given do not make sense.
Step-by-step explanation:
