To find the equation of the line in slope-intercept form, we need to determine the slope (m) and the y-intercept (b).
First, let's find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Using the coordinates (1,8) and (0,4):
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4
Now, let's find the y-intercept (b). We can use the point (0,4) and the slope (m) in the slope-intercept form equation:
y = mx + b
Using the point (0,4):
4 = 4(0) + b
4 = 0 + b
b = 4
Therefore, the slope-intercept form equation of the line is:
y = 4x + 4
(1,8)(0,4) derive the equation of the line in slope-intercept form.
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