Question
X = -3 -2 -1 y = 0 3 6
write an equation of the line in slope-intercept form
write an equation of the line in slope-intercept form
Answers
GPT 3.5
To find the equation of the line in slope-intercept form, we first need to find the slope and the y-intercept.
The slope can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Let's use the points (-3, 0) and (-2, 3) to calculate the slope:
m = (3 - 0) / (-2 - (-3))
m = 3 / 1
m = 3
Now that we have the slope, we can find the y-intercept by plugging in one of the points into the slope-intercept form equation y = mx + b, where m is the slope and b is the y-intercept.
Using the point (-3, 0):
0 = 3(-3) + b
0 = -9 + b
b = 9
Now that we have the slope (m = 3) and the y-intercept (b = 9), we can write the equation of the line in slope-intercept form:
y = 3x + 9
The slope can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Let's use the points (-3, 0) and (-2, 3) to calculate the slope:
m = (3 - 0) / (-2 - (-3))
m = 3 / 1
m = 3
Now that we have the slope, we can find the y-intercept by plugging in one of the points into the slope-intercept form equation y = mx + b, where m is the slope and b is the y-intercept.
Using the point (-3, 0):
0 = 3(-3) + b
0 = -9 + b
b = 9
Now that we have the slope (m = 3) and the y-intercept (b = 9), we can write the equation of the line in slope-intercept form:
y = 3x + 9