Given equation of line y=0.25x-7.
On comparing given equation with slope-intercept form y=mx+b.
We get m=0.25.
0.25 could be written 25/100 in simplest fractions 1/4.
Line are perpendicular.
Therefore, slope of the perpendiular line would be reciprocal and opposite in sign of the given slope of the line.
Reciprocal of 1/4 is 4 and opposite of sign of 4 would be -4.
So, the slope of the required line is m=-4.
We are given a point (-6,8).
Applying point-slope form, we get
y-y1=m(x-x1)
y-8 = -4(x- (-6))
y-8 = -4(x+6)
y-8 = -4x -24.
Adding 8 on both sides, we get
y-8=8 = -4x -24+8
y=-4x-16.
Therefore, the equation y=-4x-16 is perpendicular to the given eqution of line.
Answer: 0
Step-by-step explanation:
Step 1: factor left side of equation
y(5y^2-3y+8)=0
Step 2: set factors to equal zero
y=0 or 5y^2-3y+8=0
y=0
Answer:
C. m<XYA > m<ZYA.
Step-by-step explanation:
Since XY = YZ, as indicated in the information given, the angles opposite XY and YZ would also be of equal measure of degrees.
Thus, XA = 5. The angle opposite XA is m<XYA.
ZA = 3. The angle opposite ZA is m<ZYA.
Since XA > ZA, therefore,
m<XYA > m<ZYA.
Answer:
The equation of the regression line is:
Step-by-step explanation:
The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance.
We have the following data:
To find the line of best fit for the points:
Step 1: Find 
and 
as it was done in the table
Step 2: Find the sum of every column:
Step 3: Use the following equations to find a and b:
Step 4: Assemble the equation of a line
The graph of the regression line is:
