The slope of a line is given by the change in y coordinates over the change in x coordinate.
The slope of line DE will be (4 - -3)/ (7-1) = 7/6
If M1 and M2 are slopes of two perpendicular lines at a point then
M1× M2 = -1
Thus, the slope of a perpendicular to line DE will be -6/7.
<h3>
Answer: y = (3/4)x + 13/4</h3>
This is the same as writing y = 0.75x + 3.25
slope is 3/4 = 0.75
y intercept is 13/4 = 3.25
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Explanation:
One marked point on this line is (-3,1)
Another point is at (1,4)
Let's find the slope of the line through these two points.
m = (y2-y1)/(x2-x1)
m = (4-1)/(1-(-3))
m = (4-1)/(1+3)
m = 3/4
m = 0.75
Now let's use point slope form to find the equation of the line
y - y1 = m(x - x1)
y - 1 = 0.75(x - (-3))
y - 1 = 0.75(x + 3)
y - 1 = 0.75x + 2.25
y = 0.75x + 2.25 + 1
y = 0.75x + 3.25
If you wanted, you can convert those decimal values to fraction form
- 0.75 = 75/100 = 3/4
- 3.25 = 325/100 = 13/4
That means the equation
y = 0.75x + 3.25
is the same as
y = (3/4)x + 13/4
The width of the laptop is 6 inches long.
1st question: 26 miles per gallon
2nd question: 4 miles per hour
3rd question: The 5 bags of pretzels is the lower unit price.
Hope this helps!
