SOLUTION: I think this is an equation, but I'm not entirely sure. I need to know the equation of the line that passes by the following information. 1. The line passes through the (3,-2) an

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Question 689073: I think this is an equation, but I'm not entirely sure. I need to know the equation of the line that passes by the following information.
1. The line passes through the (3,-2) and has a slope of 2/3
2. The line has a y-intercept of 5 and a slope of -2
3. The line passes through the points (2,-4) and (1,8)
All answers MUST be in slope-intercept form. Thank you so so much for helping me in advance!
Answer by ReadingBoosters(3246) (Show Source):
You can put this solution on YOUR website!
slope intercept form is y=mx+b, which is the form of your final answers.
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When given a point on the line and the slope of the line apply the point-slope formula of: where m is slope and the point gives (x1,y1)
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1. Use point-slope formula
y - -2 = (x-3)
y + 2 =
y =
==> this is the equation for the line
in slope-intercept form containing the point (3,-2) with a slope of
...
2. y intercept of 5 means (0, 5). Again use point-slope formula
y - 5 = -2(x - 0)
y - 5 = -2x
==> this is the slope-intercept form of the
linear equatin to the line with a y intercept of 5 and slope of -2.
...
3. Use (2, -4) and (1,8) to find slope and then apply point-slope formula
slope is
y - -4 = -12(x - 2)
y + 4 = -12x + 24
==> this is the slope-intercept form of the
linear equation for the line containing both points.
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