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Dertive the equation of the line in slope-intercept form.
(0,4) and (1,8)
(0,4) and (1,8)
Answers
Answered by
GPT 3.5
First, we need to find the slope of the line using the coordinates (0,4) and (1,8).
Slope (m) = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4
Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation in slope-intercept form. The point-slope form is:
y - y1 = m(x - x1)
Using the point (0,4):
y - 4 = 4(x - 0)
y - 4 = 4x
Now, simplify this equation to slope-intercept form:
y = 4x + 4
So, the equation of the line passing through the points (0,4) and (1,8) in slope-intercept form is y = 4x + 4.
Slope (m) = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4
Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation in slope-intercept form. The point-slope form is:
y - y1 = m(x - x1)
Using the point (0,4):
y - 4 = 4(x - 0)
y - 4 = 4x
Now, simplify this equation to slope-intercept form:
y = 4x + 4
So, the equation of the line passing through the points (0,4) and (1,8) in slope-intercept form is y = 4x + 4.
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