Question 102158
"Find the slope and y-intercept of y-6= -2x"

{{{y-6= -2x }}} Start with the given equation



{{{y= -2x+6 }}} Add 6 to both sides. So the equation is in slope intercept form {{{y=mx+b}}} where the slope is {{{m=-2}}} and the y-intercept is {{{b=6}}}



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"Find the slope and y-intercept of y= x+2"


Since {{{y= x+2 }}} is in slope intercept form {{{y=mx+b}}}, the slope is m=1 (remember it really looks like {{{y=1*x+2}}}) and the y-intercept is b=2




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"Find the slope of the line that passes through each pair of points:
(-3,-2),(4,-2)"

*[invoke calculating_slope -3, -2, 4, -2]


So {{{y=0x-2}}} then becomes  {{{y=-2}}}, which is the equation of the line through the points (-3,-2),(4,-2)