SOLUTION: write an equation in slope-intercept form for the line that satisfies each set of conditions. PASSES THROUGH (1,-1),PARALLEL TO THE LINE THAT PASSES THROUGH (4,1) AND (2,-3)

Algebra ->  Linear-equations -> SOLUTION: write an equation in slope-intercept form for the line that satisfies each set of conditions. PASSES THROUGH (1,-1),PARALLEL TO THE LINE THAT PASSES THROUGH (4,1) AND (2,-3)      Log On


   

Question 55178: write an equation in slope-intercept form for the line that satisfies each set of conditions.
PASSES THROUGH (1,-1),PARALLEL TO THE LINE THAT PASSES THROUGH (4,1) AND (2,-3)
Answer by funmath(2933) About Me  (Show Source):
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write an equation in slope-intercept form for the line that satisfies each set of conditions.
PASSES THROUGH (1,-1),PARALLEL TO THE LINE THAT PASSES THROUGH (4,1) AND (2,-3)
:
In order to find the equation of a line we need a point and a slope (m). We don't have a slope, but we can find one using the slope formula: highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29 using the two points that they gave us: (x1,y1)=(4,1) and (x2,y2)=(2,-3)
m=%28-3-1%29%2F%282-4%29
m=-4%2F-2
highlight%28m=2%29 Parallel lines have equal slopes.
Now that we have a slope (m=2) and a point (x1,y1)=(1,-1), we can use the point-slope formula to find the equation of a line: highlight%28y-y1=m%28x-x1%29%29
y-%28-1%29=2%28x-1%29
y%2B1=2x-2 Slope intercept form is highlight%28y=mx%2Bb%29, so solve for y.
y%2B1-1=2x-2-1
highlight%28y=2x-3%29
Happy Calculating!!!