Write an equation for the following,
X intercept -4, y intercept -2
Where a is x-intercept and b is y- intercept
a=-4 b=-2
Plug in your numbers
x/a+y/b=1
(-4, 0), (0, -2).
m = (-2-0)/(0+4) = -1/2.
Y = mx+b.
(-4, 0)
0 = (-1/2)(-4)+b
b = -2.
y = (-1/2)x-2. Slope-intercept form.
y = -x/2-2
2y = -x-4
x + 2y = -4. Standard form.
X intercept -4, y intercept -2
To write an equation given the x-intercept and y-intercept, we need to use the slope-intercept form of a linear equation, which is y = mx + b.
In this case, the x-intercept (-4, 0) means that when y = 0, x = -4. Similarly, the y-intercept (0, -2) means that when x = 0, y = -2.
To find the slope (m), we can use the formula:
m = (y2 - y1) / (x2 - x1)
Let's substitute the points (-4, 0) and (0, -2) into the slope formula:
m = (-2 - 0) / (0 - (-4))
m = -2 / 4
m = -1/2
Now that we have the slope (m) and the y-intercept (b = -2), we can plug those values into the slope-intercept form of the equation to get our final answer:
y = -1/2x - 2