Write the slope intercept for of the equation:
>Through (4,-2) and (0,-4)
Ans y= 1/2x -4
I did this one for you
http://www.jiskha.com/display.cgi?id=1452053348
I changed the numbers. I had forgotten to put the negative
(4,-2), (0,-4).
m=(-4-(-2))/(0-4) = -2/-4 = 1/2.
Y = mx + b = -2.
(1/2)4 + b = -2.
2 + b = -2.
b = -4.
Eq: Y = (1/2)x - 4.
To find the slope-intercept form of the equation given two points, we first need to find the slope (m) and then substitute one of the points into the equation to solve for the y-intercept (b).
To find the slope (m), we use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (4, -2) and (0, -4), we can substitute the coordinates into the formula:
m = (-4 - (-2)) / (0 - 4)
= (-4 + 2) / (0 - 4)
= -2 / -4
= 1/2
Now that we have the slope (m = 1/2), we can substitute it into the slope-intercept form of the equation y = mx + b:
y = (1/2)x + b
Next, we substitute the coordinates of one of the points into the equation (let's use the first point, (4, -2)), and then solve for b:
-2 = (1/2)(4) + b
-2 = 2 + b
b = -4
Now we have both the slope (m = 1/2) and the y-intercept (b = -4), so we can write the equation in slope-intercept form:
y = (1/2)x - 4