We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
a) Negative correlation
Negative correlation corresponds to points that move down as you go from left to right on the scatter plot.
b) Positive correlation
Positive correlation corresponds to points that move up as you go from left to right on the scatter plot.
c) No correlation
Scattered points on the scatter plot make no relationship.
Since there are 24x-16 total and 3x-2 in each row, we can just divide it to get the number of rows. Since 24/3 and 16/2=8, which is very convenient, we can easily find the number of rows to be 8
