Write an equation in slope intercept form of the tend line. Dots are on 30,35,60

Answer 1

To write an equation in slope-intercept form (y = mx + b) for the trend line that fits the points (30, 35) and (60, 95), we need to determine the slope (m) and the y-intercept (b).

First, let's calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the coordinates (30, 35) and (60, 95):

m = (95 - 35) / (60 - 30)
m = 60 / 30
m = 2

Now we have the slope, m = 2.

Next, we use the slope-intercept form y = mx + b and one of the points to find the y-intercept (b). We'll use the point (30, 35):

35 = 2(30) + b
35 = 60 + b
b = 35 - 60
b = -25

So the y-intercept, b, is -25.

Now, we can write the equation of the trend line:

y = 2x - 25

This is the equation in slope-intercept form for the trend line passing through the points (30, 35) and (60, 95).