Write an equation for slope intercept.. y intercept is 8.
X intercept is 40
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.
or, starting with the intercept form,
x/40 + y/8 = 1
x + 5y = 40
y = -x/5 + 8
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