Answer:
y - 3 = ⁵/₂(x - 2) {the point-slope form of the equation}
y = ⁵/₂x - 2 {the slope-intercept form of the equation}
5x - 2y = 4 {the standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = ⁵/₂
(2, 3) ⇒ x₀ = 2, y₀ = 3
So, the point-slope form of the equation:
y - 3 = ⁵/₂(x - 2)
Therefore:
y - 3 = ⁵/₂x - 5 {add 3 to both sides}
y = ⁵/₂x - 2 ← the slope-intercept form of the equation
-⁵/₂x + y = - 2 {multiply both sides by (-2)}
5x - 2y = 4 ← the standard form of the equation
The answer would be B. 4 1/4 because 7.5-3.25=4.25. Also the bow was just a useless piece of fact that was there probably to throw you off.
Hey!
Question - According to the rule of 72, which statement is true? An investment of $3,100 will double in 12 years at a compound interest rate of 5%. An investment of $9,000 will double in 10 years at a compound interest rate of 7%. An investment of $4,500 will double in 8 years at a compound interest rate of 9%. An investment of $3,000 will double in 4 years at a compound interest rate of 12%
Answer - An investment of $3,000 will double in 4 years at a compound interest rate of 12%
0.012 / 3000 = 0.00004 = 4
Answer:
Step-by-step explanation:
We are given that a line has a slope of -2/3 and passes through the point (0,6)
We want to write the equation of this line; there are 3 forms of the line that we can use:
- Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
- Standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
- Slope-point form, which is
, where m is the slope and 
is a point
All though while writing the equation of the line in any of these ways is acceptable, the most common way is to write it in slope-intercept form, so let's do it that way.
As we are already given the slope, we can immediately substitute m with that value.
Replace m with -2/3:
y = -2/3x + b
Now we need to find b.
As the equation passes through the point (0, 6), we can use it to help solve for b.
Substitute 0 as x and 6 as y.
6 = -2/3(0) + b
Multiply
6 = 0 + b
Add
6 = b
Substitute 6 as b.
y = -2/3x + 6
Topic: finding the equation of the line
See more: brainly.com/question/27645158
