Which of the following is a point-slope equation of a line that passes through the points (-1,4) and (8,-2)
1 answer:
Answer:
y = (2/3)x + 4 2/3
Step-by-step explanation:
For reference, a linear function has an equation of y = mx + b
The first thing we're going to do is use the slope formula, or rise over run. In this case that looks like:
(-2-4) - (8 - -1)
-2 -4 comes out to - 6, and the denominator comes out to 9.
6/9 is equal to 2/3, which is our m or slope value.
Next we want to find the b value, or our y-intercept. To do that we'll plug one of the points into the equation with our new-found slope:
4 = (2/3)-1 +b
4 = -2/3 + b
4 2/3 = b
That means our complete equation is:
y = (2/3)x + 4 2/3
OR
y = (2/3)x + 14/3 (equivalent but an improper fraction rather than a mixed fraction).
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Theres a formula to find the midpoint it’s... (x1+x2)/2, (y1+y2)/2. You fill in the x’s and y’s to get (-5+7)/2 for x, which equals 1 and (4-5)/2 to get -0.5. (1, -0.5) is your answer
Answer:
24
Step-by-step explanation:
Given that:
The ratio of band students to choir students is 4 : 6.
Total number of students in the band and choir combined = 60
To find:
The number of students in the band = ?
Solution:
First of all, let us understand the meaning of the ratio given.
Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.
Also, number of band students will be in the multiples of 4 only and
number of choir students will be in the multiples of 6 only
Let the total number of band students = 4
Let the total number of choir students = 6
Total number of students = 60
As per question statement, we can write the following equation:
Total number of band students = 4 6 = <em>24</em>