Answer:
y= 2x - 5 equation has a slope of 2 and a y intercept of -5
Step-by-step explanation:
Given:
The slope = 2
Intercept of y = -5
To Find:
The equation of the line = ?
Solution:
The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.
The equation of the line in the slope intercept form is
y = mx+b
where
m is the slope
b is the y intercept
Now substituting the given values we get
y = (2)x + (-5)
y= 2x - 5
Answer:
Step-by-step explanation:
Before I answer your question, what does "dm3" means?
Answer:
The options are not shown, so i will answer in a general way.
Let's define the variables:
h = number of hats
m = number of mugs.
We know that a total of 1000 items were ordered, then:
h + m = 1000
We also know that we have 3 times more mugs than hats, this can be written as:
m = 3*h
Now we have the system of equations:
h + m = 1000
m = 3*h
To solve these, we usually start by isolating one of the variables in one equation and then replace that in the other equation, but in this case, we already have m isolated in the second equation, then we can replace that in the first equation to get:
h + m = 1000
h + (3*h) = 1000
Now we can solve this equation for h, and find the number of hats ordered.
4*h = 1000
h = 1000/4 = 250
There were 250 hats ordered.
