Question

b ) Find the equation of the line , in slope - intercept form , containing the points (4, 1.9) and (5, 2.1); y=f(x)= boxed | (Use integers or decimals for any numbers in the expression . Round to the nearest tenth as needed.)

Answer 1

The equation of the line in slope-intercept form that passes through (4, 1.9) and (5, 2.1) is y = 0.2x + 1.1.

Step-by-step explanation:

To find the equation of a line in slope-intercept form, we need to find the slope (m) and the y-intercept (b). First, we calculate the slope using the two given points (4, 1.9) and (5, 2.1). The slope m is defined as the rise divided by the run. In this case:

m = (y2 - y1) / (x2 - x1) = (2.1 - 1.9) / (5 - 4) = 0.2 / 1 = 0.2

Now we use one of the points to find the y-intercept b. Let's use the point (4, 1.9):

1.9 = (0.2)(4) + b

b = 1.9 - 0.8

b = 1.1

The slope-intercept form equation of the line is therefore y = 0.2x + 1.1.