Answer:
The equation of the line is y = 
x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵ 
→ Simplify it by dividing up and down by 2
∴ m =
→ Substitute its value in the form of the equation above
∴ y = x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = x + 2
∴ The equation of the line is y = x + 2
Answer:
16. y=-5x-20; 17. y=6x+18, or factored y=6(x+3)
Step-by-step explanation:
Your slope is -5
y=-5x+b, solve for b by pluging the point (-3,-5) in for x and y
-5=-5(-3)+b, solve for b
-20=b, now rewrite the equation
y=-5x-20
Your slope is 6
y=-5x+b, solve for b by pluging the point (-3,-0) in for x and y
0=6(-3)+b, solve for b
18=b, now rewrite the equation
y=6x+18, or factored y=6(x+3)
18 over 36 simplified is 1/2
The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
<h3>How to find the Mean Absolute Deviation?</h3>
From the given table, we see that;
Mean grade of Sidney = 82
Mean grade of Phil = 78.
Mean absolute deviation of Sidney = 3.28
Mean absolute deviation of Phil = 3.96.
The difference between the two means of Sidney and Phil = 82 - 78 = 4.
Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
Complete Question is;
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
Read more about Mean Absolute Deviation at; brainly.com/question/447169
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