1.Write the equation of a line that is perpendicular to the given line and that passes through the given point. y-3=8/3(x+2); (-2, 3)
A.y+3=-3/8(x-2)
B.y-3=-3/8(x+2)
C.y-2=-3/8(x+3)
D.y+3=3/8(x-2)
2.Describe how the graph of y=/x/ and y=/x+3/ are related.
A.The two graphs are the same
B.The graphs have the same shape. The y-intercept of y=/x/ is 0, and the x-intercept of the second graph is 3.
C.The graphs have the same shape. The y-intercept of y=/x/ is 0, and the y-intercept of the second graph is 3.
D.The graphs have the same shape. The y-intercept of y=/x/ is 0, and the y-intercept of the second graph is -3.
I think 1 is B and 2 is D. Correct me if im wrong please.
Hey, Steve. Not all of the time do people have keyboards that have fancy symbols. I have an old keyboard. It still types. GummyBears was using what he/she had.
oh boo hoo
To determine the equation of a line that is perpendicular to a given line and passes through a given point, you need to follow these steps:
Step 1: Find the slope of the given line.
The given equation is in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, the slope of the given line is 8/3.
Step 2: Determine the negative reciprocal of the slope.
To find the slope of a line perpendicular to the given line, take the negative reciprocal of the slope. The negative reciprocal of 8/3 is -3/8.
Step 3: Use the point-slope form to write the equation.
The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, the given point is (-2, 3) and the slope of the perpendicular line is -3/8.
Plugging in these values, we get:
y - 3 = -3/8(x + 2)
So, the correct answer for question 1 is option A: y + 3 = -3/8(x - 2).
For question 2, the correct answer is option B: The graphs have the same shape. The y-intercept of y = |x| is 0, and the x-intercept of the second graph, y = |x + 3|, is 3.
What's wrong with using || symbols? Your keyboard surely has them.
#1 ok
#2 C
|x+3| has x-intercept at -3, but y-intercept is +3.
1. You're wrong, but that's okay! The correct answer is D. "y+3=3/8(x-2)." Just remember, if two lines are perpendicular, the slopes are negative reciprocals of each other.
2. You are incorrect again, my friend! The correct answer is B. "The graphs have the same shape. The y-intercept of y=/x/ is 0, and the x-intercept of the second graph is 3." Keep practicing, you'll get it!