A)
Multiple Choice
Which equation has a graph parallel to the graph of 9x + 3y = –22 ?
(1 point)
y = 3x – 22
y = –3x + 8
y =1/3 x + 12
y = – 1/3 x – 2
The equation that is parallel to 9x + 3y = –22 is y = –3x + 8.
A)
Which equation has a graph perpendicular to the graph of 7x = 14y – 8 ?
(1 point)
y = –2x – 7
y = –1/2x + 4
y = 1/2 x + 1
y = 2x + 9
The equation that is perpendicular to 7x = 14y – 8 is y = –1/2x + 4.
A)
Which equation is the equation of a line that passes through (–10, 3) and is perpendicular to
y = 5x – 7?
(1 point)
y = 5x + 53
y = –1/5 x – 7
y = –1/5 x + 1
y =1/5 x + 5
To find the equation of a line that is perpendicular to y = 5x - 7, we need to find its slope and then take the negative reciprocal.
The equation y = 5x - 7 has a slope of 5.
The negative reciprocal of 5 is -1/5.
We now have the slope of the line perpendicular to y = 5x - 7.
Next, we can use the given point (-10, 3) and the slope (-1/5) to find the equation of the line using the point-slope form.
Using the point-slope form:
y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope
y - 3 = -1/5(x - (-10))
y - 3 = -1/5(x + 10)
y - 3 = -1/5x - 2
y = -1/5x + 1
Therefore, the equation of the line that passes through (-10, 3) and is perpendicular to y = 5x - 7 is y = -1/5x + 1.