Answer:
The rate of change is -5
The initial value is 25
Step-by-step explanation:
Since, this is a linear relation
so, we can select any two points and find equation of line
points are (1,20) and (3,10)
so,
now, we can find slope
now, we can plug values
now, we can use point slope form of line
now, we can plug values
now, we can solve for y
we know that
slope is the rate of change
So, the rate of change is -5
For finding initial value , we can plug x=0 and find y
So, initial value is 25
Since they form corresponding Angle pair ~
Answer:
y = ⅔x - 5
Step-by-step explanation:
The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.
Rewrite;
2x - 3y = 24
-3y = -2x + 24
Divide both sides by -3
y = ⅔x - 8
Thus, the slope of 2x - 3y = 24 is ⅔.
Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.
Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.
Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Therefore:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
Rewrite in slope-intercept form.
Multiply both sides by 3
3(y + 7) = 2(x + 3)
3y + 21 = 2x + 6
3y = 2x + 6 - 21
3y = 2x - 15
Divide both sides by 3
y = ⅔x - 5
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