SOLUTION: My daughter is needing help with Algebra. She is in the 8th Grade and in a Honors Algebra class. The question she is stuck on is: Which equation models a line with the same y-inte

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Question 946024: My daughter is needing help with Algebra. She is in the 8th Grade and in a Honors Algebra class. The question she is stuck on is: Which equation models a line with the same y-intercept but half the slope of the line y=6-8x?
A. y=-4x+3
B. y=6-4x
C. y=3-8x
D. y=-16x+6
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
%22B+.%22y=6-4x
The equation for a line that is not a "vertical line" is often given in the form
y=m%2Ax%2Bb where m and b are constants.
That form of the equation is called the slope-intercept form
y=6-8x is equivalent to y=-8x%2B6<-->y=%28-8%29x%2B6 , which is written in the traditional slope-intercept form.
Slope is the number m multiplied times x .
In the case of y=6-8x the number is -8 .
Half of that is
%281%2F2%29%2A%28-8%29=-4 .
The other term, 6 is the y-intercept.
The slope-intercept form for a line with the same y-intercept but half the slope of the line y=6-8x is
y=%28-4%29x%2B6 , which is equivalent to y=6-4x