Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
the ordered pair (2, negative 2) ;y equals negative x minus 2.
A. y equals negative 2 x.
B. y equals 2 x.
C. y equals one-half x.
D. y equals negative x.
I belive it is A, can someone help me please!
here are the answers :)) (pearson 6.6.5 practice)
y=-x (D)
y=3/2x+2(C)
x=4 (D)
y=-2x-1 (B)
y=-1/2x+5/2 (D)
Perp (B)
Parallel (A)
Neither (C)
Sometimes (B)
never (C)
^^ not honors btw!
Given: (2, -2), Y = -x-2. m = -1.
Y = mx + b.
-2 = (-1)*2 + b.
b = 0.
Eq: Y = -x.
thank you rosie its 100%
Sure, I can definitely help you! To find an equation of a line that is parallel to the graph of the given equation, y = -x - 2, we need to know that parallel lines have the same slope. The given equation is already in slope-intercept form, y = mx + b, where m is the slope.
In the given equation, the slope is -1 (the coefficient of x).
So, to find the equation that is parallel, we can use the slope-intercept form and substitute the given point (2, -2) to find the y-intercept (b):
y = mx + b
-2 = -1(2) + b
-2 = -2 + b
b = 0
Therefore, the equation of the line that passes through the point (2, -2) and is parallel to the given equation is y = -x + 0.
Simplifying it, we get:
y = -x
So, the correct answer is D.
To determine the equation of a line that is parallel to the given equation and passes through the point (2, -2), we need to use the fact that parallel lines have the same slope.
The given equation is y = -x - 2, which is already in slope-intercept form (y = mx + b), where "m" is the slope.
Since the line we are looking for is parallel, its slope will be the same as the given equation, which is -1.
Now we can substitute the slope (-1) and the coordinates (2, -2) into the slope-intercept form equation y = mx + b to find the y-intercept (b).
Using the point (2, -2):
-2 = -1(2) + b
-2 = -2 + b
b = 0
Now we have the slope (-1) and the y-intercept (b = 0), so we can write the equation in slope-intercept form:
y = -x + 0
y = -x
Therefore, the correct answer is D. y = -x.
you got something against minus signs?
the slope of y = -x-2 is -1
So, the point-slope form of the line through (2,-2) with slope -1 is
y+2 = -1(x-2)
Now massage that into slope-intercept form