Question 946024
{{{"B ."}}}{{{y=6-4x}}}
The equation for a line that is not a "vertical line" is often given in the form
{{{y=m*x+b}}} 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+6}}}<-->{{{y=(-8)x+6}}} , 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
{{{(1/2)*(-8)=-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=(-4)x+6}}} , which is equivalent to {{{y=6-4x}}}