Answer:
Slope: 5
Y-intercept: 0
Equation: y=5x
Step-by-step explanation:
Lets look for an equation of the format y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Slope is defined as the "Rise/Run" of the line. The change in y(the rise) for a change in x(the run). This can be calculated by taking any two of the given data points. I'll pick (1,5) and (5,25):
Rise = (25 - 5) = 20
Run = (5 - 1) = 4
The Rise/Run, or slope, m, is (20/4) or 5.
<u>The equation becomes y = 5x + b.</u>
To find b, the y-intercept, enter <u>any</u> of the points into the equation and solve for b:
y = 5x + b
y = 5x + b for (4,20)
20 = 5*(4) + b
b = 0
The line goes through the origin at x = 0 (0,0).
The equation is y = 5x + 0 or just y = 5x.
Slope: 5
Y-intercept: 0
Equation: y=5x
Answer:
The factors of x²-64 is equal to (x-8)(x+8).
Step-by-step explanation:
The given expression is:
x²-64
we know that, 8² = 64
So,
(x²-8²) = (x-8)(x+8) [As (a-b)(a+b) = a²-b²]
So, the factors of x²-64 i equal to (x-8)(x+8).
I am going to show you the procedure with any slope (given that you did not write the value of the slope)
general slope value: m
generic point (x1,y1)
Formula: y - y1 = m (x -x1)
y - y1 = mx - mx1
y - mx - y1 + mx1 = 0
x1 = -2 , y1 = -3 =>
y - mx - (-3) + m(- 2) = 0
y - mx + (3 -2m) = 0
Now suppose a value for m. Lets say it is m = 5.
y - 5x + (3 - 2*5) = 0
y - 5x + (3 - 10) = 0
y - 5x + (-7) = 0 and that is the standard form if the slope is 5. Now you can do the same with any slope.
