Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
Function y = -2x + 5:
slope of -2
y intercept at 5
x intercept at 2 1/2
function y = x
slope of 1
y intercept at 0
x intercept at 0
Answer:
the answer is the same.....
We are given equation 2x+3y=9xy.
A linear equation is a equation that has maximum degree of the equation as 1.
Degree is the maximum power(exponent) of the variables.
If two variables are being multiplied together in a term, we can find power of the that term by adding powers of those variables.
In the given equation, on the left side we have two terms 2x and 3y, each opf the variable x, and y has power 1 and right side of the eqaution we have term 9xy. There x and y variables are being multiplied together.
So, the total power of the term would be 1+1=2.
So, the degree of the given equation would be 2.
Because degree of the given equation is not 1. Therefore, given equation is not a linear eqaution and it is a non-linear equation.
