Question

Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. I am having trouble writing the equation will someone do it for me because I don't understand.

Answer 1

Answer:

Our equation: y = 200x/3 + 100

Step-by-step explanation:

The trend line is linear.

y = mx + b

=> b = y-intercept = 100

=> m = slope = rise/run

=> 400/6 = 200/3

=> Slope = 200/3

Our equation: y = 200x/3 + 100

Hoped this helped.

Answer 2

Take 2 points

• (6,400)
• (0,100)

$\\ \sf\longmapsto m=\dfrac{100-400}{0-6}$

$\\ \sf\longmapsto m=\dfrac{-300}{-6}$

$\\ \sf\longmapsto m=5$

Equation of line in point slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y-400=5(x-6)$

$\\ \sf\longmapsto y-400=5x-30$

$\\ \sf\longmapsto 5x-y+370=0$

Linear Trend ✓no