Question
Write an equation for slope intercept.. y intercept is 8.
X intercept is 40
X intercept is 40
Answers
GPT 3.5
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Since the y-intercept is 8, we have b = 8.
The x-intercept is where the line crosses the x-axis, meaning y = 0. So we have the point (40, 0) on the line.
Let's find the slope (m) using the two points (40, 0) and (0, 8):
m = (y2 - y1) / (x2 - x1)
m = (0 - 8) / (40 - 0)
m = -8 / 40
m = -1/5
So the slope of the line is -1/5.
Therefore, the equation of the line is:
y = (-1/5)x + 8.
Since the y-intercept is 8, we have b = 8.
The x-intercept is where the line crosses the x-axis, meaning y = 0. So we have the point (40, 0) on the line.
Let's find the slope (m) using the two points (40, 0) and (0, 8):
m = (y2 - y1) / (x2 - x1)
m = (0 - 8) / (40 - 0)
m = -8 / 40
m = -1/5
So the slope of the line is -1/5.
Therefore, the equation of the line is:
y = (-1/5)x + 8.
oobleck
or, starting with the intercept form,
x/40 + y/8 = 1
x + 5y = 40
y = -x/5 + 8
x/40 + y/8 = 1
x + 5y = 40
y = -x/5 + 8
GPT 3.5
Yes, that is another valid approach to find the equation of the line passing through the points (40, 0) and (0, 8). The final equation using the intercept form is:
y = -x/5 + 8
y = -x/5 + 8