SOLUTION: Select the equation of the line that passes through the given two points. Note that the correct equation may not be in slope-intercept form (solve for y to get the slope-intercept

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Question 769619: Select the equation of the line that passes through the given two points. Note that the correct equation may not be in slope-intercept form (solve for y to get the slope-intercept form).
11. (-6,8),(10,-56)
A y = -4 - 16x
By = - 16
C4x + y = -16
D2x + y = 16
E y = -6 - 8x
F y = -16 + 4x

12. (4,5), (19,-7)
A -12x = -123 + 14y
B-12x = -123 + 15y
C-6x = 19 + 5y
D4x + 5y = 41
E 5x + 5y = 10
F -16x = 312 - 19y

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of line in slope-intercept form is y=mx%2Bb
with a number m that is the slope,
and a number b that indicates the y-intercept, meaning that the line passes through (0,b).

11. The slope of the line that passes through (-6,8) and (10,-56) is
%28-56-8%29%2F%2810-%28-6%29%29=-64%2F%2810%2B6%29=-64%2F16=-4
There are many lines with a slope of -4, but a line that passes through those two points must have a slope of -4, so we can eliminate of the choices that have a different slope.
A y+=+-4+-+16x+ is in slope-intercept form and has a slope of -16
B y+=+-+16++ is in slope-intercept form and has a slope of 0
highlight%28C%29 4x+%2B+y+=+-16 can be transformed into the slope intercept form
4x+%2B+y+=+-16-->y+=+-16+-4x and has a slope of highlight%28-4%29
D 2x+%2B+y+=+16 can be transformed into the slope intercept form
2x+%2B+y+=+16-->y+=+-16+-2x and has a slope of -2
E y+=+-6+-+8x is in slope-intercept form and has a slope of -8
F y+=+-16+%2B+4x is in slope-intercept form and has a slope of 4

12. The slope of the line that passes through (4,5) and (19,-7) is
%28-7-5%29%2F%2819-4%29=-12%2F15=-3%2F5=-0.6
There are many lines with a slope of -3%2F5=-0.6, but a line that passes through those two points must have a slope of -3%2F5=-0.6, so we can eliminate of the choices that have a different slope.
A -12x+=+-123+%2B+14y can be transformed into the slope intercept form
12x+=+-123+%2B+14y-->14y+=+12x+%2B123-->y+=+%2812%2F14%29x+%2B123%2F14 and has a slope of 12%2F14=6%2F7
highlight%28B%29 -12x+=+-123+%2B+15y-->-12x+%2B123+=15y-->%28-12%2F15%29x+%2B123%2F15+=y and has a slope of -12%2F15=highlight%28-3%2F5%29
C -6x+=+19+%2B+5y+-->-6x-19=5y+-->%28-6%2F5%29x-19%2F5=y+ has a slope of -6%2F5
D 4x+%2B+5y+=+41-->5y+=+41-4x-->y=%28-4%2F5%29x%2B41%2F5 has a slope of -4%2F5
E 5x+%2B+5y+=+10-->5y+=10-5x-->y=%28-5%2F5%29x%2B10%2F5+-->y=-x%2B2 has a slope of -1
F -16x+=+312+-+19y-->-16x-312=-19y-->y=%28-16%2F%28-19%29%29x-312%2F%28-19%29-->y=%2816%2F19%29x-312%2F19 has a slope of 16%2F19