Answer:
The slope-intercept form of the equation of the line is:
y = 2/3x + 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
(x₁, y₁) = (0, 2)
(x₂, y₂) = (3, 4)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [3 - 0]
= 2 / 3
Thus, the slope of the line = m = 2/3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting m = 2/3 and b = 2 in the slope-intercept form
y = mx+b
y = 2/3x + 2
Therefore, the slope-intercept form of the equation of the line is:
y = 2/3x + 2
Answer:
7.8 units separate the points A and B.
Step-by-step explanation:
Going from B to A, x increases by 6 (this is the horizontal side of the triangle formed by vertices A and B), and y increases by 5. Applying the Pythagorean Theorem, we get
d = √(6² + 5²), or √(61, which is approximately 7.8, the desired distance.
Answer:
W = 4
Step-by-step explanation:
The nice thing about algebra is that you can look for any variable in an equation as long as you have the number for the other variables.
1. Write our the equation. V = l w h
2. Put in as many numbers as you can. 60 = 5 w 3
3. Isolate the variable. To do that perform the mathematical opposite to the target on both sides. So to get rid of five, we have to divide it on both sides of the equal sign.
60/5 = w 3
12/3 = w
4 = w
The width is 4cm
