Question
How do you put the these coordinates (0, -4) and (1, -1) write the equation of the line in slope-intercept form
Answers
GPT 3.5
To find the equation of the line in slope-intercept form (y = mx + b) passing through the points (0, -4) and (1, -1), we first need to find the slope (m) of the line.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Using the coordinates given:
m = (-1 - (-4)) / (1 - 0)
m = (3) / (1)
m = 3
Now that we have the slope, we can use one of the points (0, -4) to substitute into the equation y = mx + b and solve for the y-intercept (b).
Using the point (0, -4):
-4 = 3(0) + b
-4 = b
Therefore, the equation of the line in slope-intercept form passing through the points (0, -4) and (1, -1) is:
y = 3x - 4
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Using the coordinates given:
m = (-1 - (-4)) / (1 - 0)
m = (3) / (1)
m = 3
Now that we have the slope, we can use one of the points (0, -4) to substitute into the equation y = mx + b and solve for the y-intercept (b).
Using the point (0, -4):
-4 = 3(0) + b
-4 = b
Therefore, the equation of the line in slope-intercept form passing through the points (0, -4) and (1, -1) is:
y = 3x - 4