Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:
9 - 4 / 6 - (-4)
Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:
4 = (1/2)(-4) + b
Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
Answer:
Ay=3 over 2 or y=-2 over 3
Step-by-step explanation:
the quadratic formula: y={-b±√(b²-4ac)}/2a
In the equation 6y²-5y-6= 0, a=6, b=-5, c= -6
Substituting for the values in the formula we get:
{-(-5)±√[(-5²)-4(6)(-6)}/2(6)
{5±√169}12
={5±13}/12
(5+13)/12=3/2 or (5-13)/12= -2/3
Answer:
Step-by-step explanation:
Since it is a square, all four sides are equal and its perimeter is just
P=4s, so if P=8 then
4s=8, dividing each side by 4 we get
s=2
So each side of the plastic square is 2 centimeters.
Answer: C
<u>Step-by-step explanation:</u>
Degree of 5 means there are 5 roots.
If 3 roots are real, then there are 2 remaining - which must be imaginary.
