Question
(3,0) (0,-2)
Write the equation of the line in slope-intercept form.
(1 point)
Write the equation of the line in slope-intercept form.
(1 point)
Answers
GPT 3.5
To find the equation of the line passing through the points (3,0) and (0,-2), first find the slope:
Slope (m) = (y2 - y1) / (x2 - x1)
m = (-2 - 0) / (0 - 3)
m = -2 / -3
m = 2/3
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:
y - y1 = m(x - x1)
where x1, y1 is one of the points on the line
Using the point (3,0):
y - 0 = 2/3(x - 3)
y = 2/3x - 2
Therefore, the equation of the line passing through the points (3,0) and (0,-2) in slope-intercept form is y = 2/3x - 2.
Slope (m) = (y2 - y1) / (x2 - x1)
m = (-2 - 0) / (0 - 3)
m = -2 / -3
m = 2/3
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:
y - y1 = m(x - x1)
where x1, y1 is one of the points on the line
Using the point (3,0):
y - 0 = 2/3(x - 3)
y = 2/3x - 2
Therefore, the equation of the line passing through the points (3,0) and (0,-2) in slope-intercept form is y = 2/3x - 2.