To find the equation of the line in slope-intercept form, we first need to calculate the slope and then use one of the points to find the y-intercept.
The slope is given by the formula:
m = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4
Now that we have the slope, we can use one of the points to find the y-intercept. Let's use point (0, 4).
Using the point-slope formula:
y - y1 = m(x - x1)
y - 4 = 4(x - 0)
y - 4 = 4x
y = 4x + 4
Therefore, the equation of the line in slope-intercept form is:
y = 4x + 4
use the graph to answer the question
(1, 8)
(0, 4)
Derive the equation of the line in slope-intercept form
_____
1 answer
1 answer