Given:
Equation of line .
To find:
The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.
Solution:
The given equation of line can be written as
Slope of line is
Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is
Now, the slope of perpendicular line is and it goes through (-21,2). So, the equation of line is
Therefore, the required equation in slope intercept form is .
Answer:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula . Upon using our given information we will get two equation and two unknowns as:
Upon substituting in 1st equation we will get,
Upon multiplying both sides of our equation by 5 we will get,
Upon substituting y=170 in 2nd equation we will get,
Therefore, Charlene's speed is 34 miles per hour.