Which choice could be the equation of a line parallel to the line represented by this equation?
7x− 12y = −32
A. y = 12/7x - 3
B. y = -7/12x + 5
C. y = 7/12x - 9
D. y = 7x - 12
can someone please give me a step-by-step on how to do this? i'm having a bit of trouble understanding. :c i'm sure it's a lot simpler than i think it is.
slope of the given equation is 7/12
the only one in your choices with a slope of 7/12 is C
danke, reiny!
bitte schön
What is the equation of the line that is perpendicular to -x + y = 7 and passes through (-1, -1)?
To determine which choice represents an equation of a line parallel to the given equation, you need to understand the concept of parallel lines.
In order for two lines to be parallel, they must have the same slope. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept.
Step-by-step process:
1. First, rewrite the given equation in slope-intercept form (y = mx + b):
7x - 12y = -32
-12y = -7x - 32 (subtract 7x from both sides)
y = 7/12x + 32/12 (divide by -12)
2. Now, compare the slope of the given equation (7/12) with the slopes of the answer choices.
A. The slope is 12/7, not equivalent to 7/12, so it is not parallel.
B. The slope is -7/12, which is a negative reciprocal of 7/12. Therefore, it is parallel.
C. The slope is 7/12, which is equal to the slope of the given equation. Therefore, it is not parallel.
D. The slope is 7, not equivalent to 7/12, so it is not parallel.
Based on the step-by-step process, the choice that represents the equation of a line parallel to the given equation is B. y = -7/12x + 5.