SOLUTION: Graph the following point-slope form equations. 1. y-3=2(x-1) 2. y-5=(-1/4)x+2

Algebra ->  Linear-equations -> SOLUTION: Graph the following point-slope form equations. 1. y-3=2(x-1) 2. y-5=(-1/4)x+2       Log On


   



Question 681977: Graph the following point-slope form equations.
1. y-3=2(x-1)
2. y-5=(-1/4)x+2

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Transform the point-slope form to slope intercept for
y-3=2(x-1)
y-3=2x-2
y =2x-2+3
y=2x + 1
y intercept is 1, plot (0,1)
...
x intercept is where y = 0
0=2x+1
-1 = 2x
x = -1%2F2, plot (-1%2F2,0)
...
From the point slope plot the point (1,3)
...
Draw a line through the point and the intercept
...
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C2x%2B1%29
...
y-5=(-1/4)x+2
y = (-1/4)x+2+5
y = (-1/4)x + 7
y intercept is 7, plot (0,7)
x intercept is where y = 0
0 = (-1/4)x + 7
-7 = (-1/4)x
28 = x, plot (28,0)
...
Taking y-5 = (-1/4)x+2 backward into point-slope
y-5 = (-1/4)(x + -8)
Plot the intercepts and the point (8,5) and draw a line through them.
...
graph%28300%2C200%2C-10%2C30%2C-10%2C10%2C%28-1%2F4%29x%2B7%29
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