Write an equation for slope intercept.. y intercept is 9. X intercept is (4,8)
To write an equation in slope-intercept form (y = mx + b), we first need to find the slope (m) using the y-intercept (b = 9) and the x-intercept (4,8).
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the x-intercept (4,8), the coordinates are (x1, y1) = (4,8). Since the y-intercept is (0,9), the coordinates are (x2, y2) = (0,9). Plugging these values into the formula:
m = (9 - 8) / (0 - 4) = 1 / -4 = -1/4
Now that we have the slope (m = -1/4) and the y-intercept (b = 9), we can write the equation in slope-intercept form:
y = -1/4x + 9
the x-intercept cannot be (4,8)
Apologies for the mistake. Let's correct the x-intercept.
To find the slope (m) using the y-intercept (b = 9) and an x-intercept, we can use the formula for the slope:
m = (y2 - y1) / (x2 - x1)
Given the y-intercept (0, 9) and an x-intercept, let's say (x1, 0) = (4, 0).
Plugging these values into the formula:
m = (9 - 0) / (0 - 4) = 9 / -4 = -9/4
Now that we have the slope (m = -9/4) and the y-intercept (b = 9), we can write the equation in slope-intercept form:
y = -9/4x + 9