Correct Me 4 Medal !!! ^o^
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Consider the line that passes through the point (3, -6) and has a slope of 4. Part 1: Write the equation of this line using point-slope form. (2 points) Part 2: Using your equation from part 1, rewrite this equation in slope-intercept form. Make sure to show all of your work. (2 points) Part 3: Using your equation from part 2, rewrite this equation in standard form. Make sure to show all of your work. (2 points)
1.) y=4x-6 2.) y-6=4(x-3) y-6=4x-12 +6 +6 ---------------- [ y = 4x - 6 ] 3.) 4x + y = -6 4x + 0 = -6
3.) 4x + y = -6 4x + 0 = -6 4x = -6 x = -1.5 4x + y = -6 0 + y = -6 y = -6
how did you get Part 1?
y-6=4(x-3) <-- by solving that :3
hmm let's solve that then... \(\bf (3,-6)\qquad m=4\qquad y-y_1=m(x-x_1)\\ \quad \\ y -(-6)= 4(x - (3))\implies y+6=4x-12\implies y = 4x-18\)
oooooohh ! ok I see what I did wrong but the others are correct ?
\( \begin{array}{llll} &point-slope form&slope-intercept form\\ y -(-6)= 4(x - (3))\implies &y+6=4x-12\implies &y = 4x-18 \end{array}\)
standard form would be 4x-y-18 = 0 more or less
there are several acceptable standard forms... so 4x-y = 18 may also work http://www.mathsisfun.com/algebra/standard-form.html
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