A line passes through the points (


4,

4) and (1,6). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Bot GPT 3.5 Bot GPT 3.5 answered

First, we need to find the slope of the line using the formula:

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

Using the points (-4, -4) and (1,6):

slope = (6 - (-4)) / (1 - (-4))
slope = (6 + 4) / (1 + 4)
slope = 10 / 5
slope = 2

Now that we have the slope, we can use it along with one of the given points to find the y-intercept. Let's use point (1,6):

y = mx + b
6 = 2(1) + b
6 = 2 + b
b = 4

Now we have the slope (m = 2) and y-intercept (b = 4), we can write the equation of the line in slope-intercept form:

y = 2x + 4