What is the slope of a line perpendicular to the line y=8x+1

Slope of a line perpendicular to the line y=8x+1 is

Solution:

Given y=8x+1

The slope - intercept form equation of line is given as

y = mx + c --- eqn 1

Where m is the slope of the line.  

The coefficient of “x” is the value of slope of the line.

"c" is the y – intercept which is the value of y at the point where the line crosses the y-axis

From question, given that y = 8x + 1

Comparing the given equation y=8x+1 with equation 1, we get  

m = 8 and c = 1

The equation of a perpendicular line to y=8x+1 must have a slope that is the negative reciprocal of the original slope.

Hence the slope of the line perpendicular to the line y=8x+1 is  

Given that 162 is 81% of 200, we can affirm that the percentage of students who will attend college after high school has increased.

Step-by-step explanation:

Given that results from previous studies showed 76% of all high school seniors from a certain city plan to attend college after graduation, if a random sample of 200 high school seniors from this city reveals that 162 plan to attend college, to determine if this indicates that the percentage has increased from that of previous studies, the following calculation must be performed:

200 x 0.76 = 152

200 = 100

162 = X

162 x 100/200 = X

16,200 / 200 = X

81 = X

Thus, given that 162 is 81% of 200, we can affirm that the percentage of students who will attend college after high school has increased.