Slope would be 2
Y intercept would be 2
y = 2x + 2
Answer:
y = -3x - 1
Step-by-step explanation:
The slope intercept form of the equation of a line is:
y = mx + b
where m is the slope, and b is the y-intercept.
First, we find the slope of the line using the two given points.
m = slope = (y2 - y1)/(x2 - x1) = (2 - (-7))/(-1 - 2) = (2 + 7)/(-3) = 9/(-3) = -3
Now we plug in the slope we found into the equation above.
y = -3x + b
We need to find the value of b, the y-intercept. We use the coordinates of one of the given points for x and y, and we solve for b. Let's use point (2, -7), so x = 2, and y = -7.
y = -3x + b
-7 = -3(2) + b
-7 = -6 + b
Add 6 to both sides.
-1 = b
Now we plug in -1 for b.
y = -3x - 1
Answer:
14 feet
Step-by-step explanation:
To calculate the width of the patio, we will use the formula of the perimeter, in the case of the rectangle it has the formula of:
p = 2 * l + 2 * w
Now we know that the total fencing value is $ 976 and that per foot is $ 16
that is, we can calculate the value of the perimeter, like this:
976/16 = 61
We know that the perimeter is 61 feet and that the length is 16.5, therefore it only remains to replace:
61 = 16.5 * 2 + 2 * w
solving for w:
w = (61 - 33) / 2
w = 14
which means that the width of the patio is 14 feet.
