Which choice could be the equation of a line parallel to the line represented by this equation?
y = 7/4x - 6
A. y = 4/7x - 3
B. y = -4/7x - 6
C. y = 7/4x + 11
D. 4x− 7y = −7
comparing it to y=mx+b, were m is the slope
I expect to see y = (7/4)x + .... , which rules out A and B
change the last one into y = mx + b, then decide if more than 1 answer is correct
TYSVM SIR ^.^
To determine which choice represents an equation of a line parallel to the given equation, we need to recall that lines are parallel if they have the same slope.
The given equation is in slope-intercept form: y = mx + b, where m represents the slope of the line.
By comparing the given equation y = (7/4)x - 6 with the equations in the choices, we can find the equation that has the same slope:
A. y = (4/7)x - 3
B. y = (-4/7)x - 6
C. y = (7/4)x + 11
D. 4x - 7y = -7
The slope of the given equation is 7/4.
By examining the choices, we find that choice A (y = (4/7)x - 3) has a slope of 4/7, which is the same as the given equation. Therefore, choice A represents an equation of a line parallel to the given line.
So, the answer is A.