For each part, write the equation that represents the line in slope-intercept form (y = mx + b) and standard form (ax + by = c w
here a, b, and c are integers and a is not negative).
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line
And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y
The coefficient of the x is the slope
The slope of the perpendicular line is the negative reciprocal of m, thus
We know the second line passes through (2,3). That is enough information to find the second equation:
Operating
Simplifying
That is the equation in slope-intercept form. Intercept: y=4
Answer:
Probability that a car need to be repaired once = 20% = 0.20
Probability that a car need to be repaired twice = 8% = 0.08
Probability that a car need to be repaired three or more = 2% = 0.02
a) If you own two cars what is the probability that neither will need repair?
Probability that a car need to be repaired once , twice and thrice or more= 0.20+0.08+0.02=0.3
Probability that car need no repair = 1-0.3=0.7
Neither car will need repair=
b) both will need repair?
Probability both will need repair =
c)at least one car will need repair
Neither car will need repair=
Probability that at least one car will need repair= 1-0.49 = 0.51
Answer:
Step-by-step explanation:
The slope of the line joining the 2 points is a measure of the average rate of change.
Calculate slope m using the slope formula
m =
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 3, - 2)
m = =
=
← average rate of change