Answer:
Option A) y = -2x + 15
Step-by-step explanation:
step 1
Find the slope of the line perpendicular to the given line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
The equation of the given line is
so
The slope of the given line is 
therefore
The slope of the line perpendicular to the given line is
step 2
Find the equation of the perpendicular line in point slope form
we have
substitute
---> equation in point slope form
Convert to slope intercept form
Answer:
first of all its not d since the y intercept is negitive
then its not b since its sloping down
so the slop is either 7/5 or 5/7
since rise/run it has to be 7/5
Hope This Helps!!!
Answer:
The answer will be A) A'(4,3)
Step-by-step explanation:
90 degrees will send the rectangle to Quadrant 1, the rectangle itself has also been rotated so by rotating the rectangle 90 degrees and putting it in place for quadrant 1, it should give you the answer.
(You can also rotate the image)
Answer:
K = -1 or -2
Step-by-step explanation:
Given the equation of parabola is, y = 0.5(x-3)(x+k).
Finding y-intercept, put x=0 and solve for y :-
y = 0.5(0-3)(0+k)
y = 0.5(-3)(k)
y = -1.5k
Finding x-intercepts, put y=0 and solve for x :-
0 = 0.5(x-3)(x+k)
(x-3)(x+k) = 0
x = 3 OR x = -k
So, the coordinates of triangle ABC are:-
A(0, -1.5k), B(3, 0), and C(-k, 0)
Assuming origin O(0,0), find the area of triangle ABC:-
Area = (1/2) * BC * OA
Area = (1/2) * (k+3) * (1.5k)
But given the area is 1.5 square units.
So, (1/2) * (-k-3) * (1.5k) = 1.5
(1/2) * (-k-3) * (k) = 1
k(-k-3) = 2
-k² -3k -2 = 0
k² +3k +2 = 0
k² +2k +k +2 = 0
(k+2)(k+1) = 0
So, k = -1 or k = -2
Answer:
MATH
Dior H. asked • 01/13/21
graph the line with the slope 1/2 and y-intercept -2
i need help badly i am crying because its hard
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1 Expert Answer
By:
Raymond B. answered • 01/14/21
TUTOR 5 (1)
Math, microeconomics or criminal justice
ABOUT THIS TUTOR ›
y=mx + b is the standard slope intercept form for a line
m=1/2, b =-2
y=(1/2)x -2. y-intercept is -2 or the point (0,-2)
x intercept is found by setting y=0 and solving for x
0=(1/2)x - 2
(1/2)x = 2
x = 4 = the x intercept or (4,0)
plot the 2 intercepts (0,-2) and (4,0)
(4,0) is on the x axis, 4 units to the right of the origin (0,0)
(0,-2) is on the y axis, 2 units below the origin
once you plot those two points, draw a straight line connecting them. That's the graph of the line
