Question

Derive the equation of the line in slope-intercept form

(0,4) (1,8)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

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

Using the points (0,4) and (1,8):
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4

So, the slope of the line is 4.

Next, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)

Using the point (0,4) and the slope m = 4:
y - 4 = 4(x - 0)
y - 4 = 4x

Finally, we can convert this equation to slope-intercept form (y = mx + b):
y = 4x + 4

Therefore, the equation of the line passing through the points (0,4) and (1,8) is y = 4x + 4.