Use the points(0,6200) &(25,10500) to write an equation for the number of housing units needed. Then use the points(0,6500) and (25,6100) to write an equation for the number of affordable units available.
I will do one.
y=mx + b
y= (10500-6200)/(25-0) * x + 6200
To find the equation for the number of housing units needed, we can use the given points (0, 6200) and (25, 10500) and apply the slope-intercept form of a linear equation: y = mx + b.
First, we need to find the slope (m):
m = (y2 - y1) / (x2 - x1)
= (10500 - 6200) / (25 - 0)
= 4300 / 25
= 172
Now, we can use one of the points (0, 6200) and the slope (172) to find the y-intercept (b).
6200 = 172(0) + b
b = 6200
Therefore, the equation for the number of housing units needed is:
y = 172x + 6200
Now, let's find the equation for the number of affordable units available using the given points (0, 6500) and (25, 6100).
Using the same process, we first find the slope (m):
m = (y2 - y1) / (x2 - x1)
= (6100 - 6500) / (25 - 0)
= -400 / 25
= -16
Next, we use one of the points (0, 6500) and the slope (-16) to find the y-intercept (b).
6500 = -16(0) + b
b = 6500
Therefore, the equation for the number of affordable units available is:
y = -16x + 6500
To write an equation for the number of housing units needed, we can use the given points (0, 6200) and (25, 10500).
Let's assume the number of housing units needed is represented by 'N', and the number of years is represented by 'x'. We can use the point-slope form of a linear equation to write the equation:
N - 6200 = m(x - 0)
where 'm' is the slope of the line. We can find the slope using the two points:
m = (10500 - 6200) / (25 - 0)
m = 4300 / 25
m = 172
Now we can rewrite the equation:
N - 6200 = 172x
To find an equation for the number of affordable units available, we can use the given points (0, 6500) and (25, 6100).
Let's assume the number of affordable units available is represented by 'A'. Using the point-slope form again:
A - 6500 = m(x - 0)
First, let's find the slope 'm':
m = (6100 - 6500) / (25 - 0)
m = -400 / 25
m = -16
Now we can rewrite the equation:
A - 6500 = -16x
Therefore, the equation for the number of housing units needed is N - 6200 = 172x, and the equation for the number of affordable units available is A - 6500 = -16x.