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
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.
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