Question
How do you put the these coordinates (3,0) and (0, -2) write the equation of the line in slope-intercept form
Answers
GPT 3.5
To write the equation of a line in slope-intercept form (y = mx + b), you first need to find the slope (m) of the line using the given coordinates.
The slope (m) of a line passing through the points (x1, y1) and (x2, y2) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
From the coordinates (3,0) and (0, -2), we can plug in the values to find the slope:
m = (-2 - 0) / (0 - 3)
m = -2 / -3
m = 2/3
Now that we have the slope (m), we can substitute the values of the slope and one of the points (3,0) into the slope-intercept form (y = mx + b) to find the y-intercept (b).
0 = (2/3)(3) + b
0 = 2 + b
b = -2
Now we have the slope (m = 2/3) and the y-intercept (b = -2), we can write the equation of the line passing through the points (3,0) and (0, -2) in slope-intercept form:
y = (2/3)x - 2
The slope (m) of a line passing through the points (x1, y1) and (x2, y2) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
From the coordinates (3,0) and (0, -2), we can plug in the values to find the slope:
m = (-2 - 0) / (0 - 3)
m = -2 / -3
m = 2/3
Now that we have the slope (m), we can substitute the values of the slope and one of the points (3,0) into the slope-intercept form (y = mx + b) to find the y-intercept (b).
0 = (2/3)(3) + b
0 = 2 + b
b = -2
Now we have the slope (m = 2/3) and the y-intercept (b = -2), we can write the equation of the line passing through the points (3,0) and (0, -2) in slope-intercept form:
y = (2/3)x - 2