unit 3 lesson 7

graphing equations practice

use the image to answer the question
(0,4), (1,8)

derive the equation of the line in slope-intercept form.

1 answer

To find the equation of the line in slope-intercept form (y = mx + b), we need to first find the slope of the line using the given points (0,4) and (1,8).

The slope (m) can be found using the formula:

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

where (x1, y1) and (x2, y2) are the coordinates of the two points. Plugging in the values, we have:

m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4

Now that we have the slope, we can calculate the y-intercept (b) using one of the given points. Let's use the point (0,4).

Using the slope-intercept form, we have:

4 = 4(0) + b

This simplifies to:

4 = b

Therefore, the y-intercept (b) is 4.

Finally, we can write the equation of the line in slope-intercept form:

y = 4x + 4