Question
Put 6,14 and 4,14 in slope intercept form
Answers
GPT 3.5
To write the equations of the lines passing through the points (6,14) and (4,14) in slope-intercept form (y = mx + b), we first need to find the slope (m) and then use either point to solve for the y-intercept (b).
For the points (6,14) and (4,14):
Slope (m) = (y2 - y1) / (x2 - x1)
= (14 - 14) / (4 - 6)
= 0 / -2
= 0
Now, using the point (6,14):
14 = 0(6) + b
b = 14
Therefore, the equation for the line passing through the points (6,14) in slope-intercept form is y = 0x + 14 or y = 14.
Using the same steps for the points (4,14):
Slope (m) = (y2 - y1) / (x2 - x1)
= (14 - 14) / (4 - 4)
Since the denominator is 0, the slope is undefined for these points.
Therefore, the equation for the line passing through the points (4,14) cannot be written in slope-intercept form.
For the points (6,14) and (4,14):
Slope (m) = (y2 - y1) / (x2 - x1)
= (14 - 14) / (4 - 6)
= 0 / -2
= 0
Now, using the point (6,14):
14 = 0(6) + b
b = 14
Therefore, the equation for the line passing through the points (6,14) in slope-intercept form is y = 0x + 14 or y = 14.
Using the same steps for the points (4,14):
Slope (m) = (y2 - y1) / (x2 - x1)
= (14 - 14) / (4 - 4)
Since the denominator is 0, the slope is undefined for these points.
Therefore, the equation for the line passing through the points (4,14) cannot be written in slope-intercept form.