Answer:
The equation in the standard form of the line through the given points is;
y = 3x - 17
Step-by-step explanation:
We start by getting the slope of the line;
m = (y2-y1)/(x2-x1)
m = (7-10)/(8-9) = -3/-1 = 3
The stands equation form is;
y = mx + b
m is slope, b is the y-intercept
so we have
y = 3x + b
To get b, we substitute the coordinates of any of the points
10 = 3(9) + b
10 = 27 + b
b = 10-27
b = -17
So the equation is;
y = 3x - 17
Hello:<span>
the equation is : y = ax+b
the slope is a : a×(-3/4) = -1......(
perpendicular to a line : </span>
3x+4y-22=0 : another equation is : y = (-3/4)x +22/4 with the slope : (-3/4))
<span>
a =4/3 </span>
<span>an equation is : y - 4 = (4/3)(x-2)</span>
<span>
</span>
First box is 6,464 feet. Second box is 4,061.5 feet.
When the equation is of the form
... ax² +bx +c = 0
the discriminant is
... d = b² -4ac
Here, your equation is in the appropriate form, so we can identify
... a = -1, b = 4, c = -2
and calculate the discriminant as
... d = 4² - 4(-1)(-2) = 16 - 8 = 8
The discriminant is 8.
