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Alenkinab [10]
3 years ago
5

How do you write -x+3y=6 in point-slope form?

Mathematics
2 answers:
ICE Princess25 [194]3 years ago
8 0
  • Point-Slope form: y-y_1=m(x-x_1) , with (x_1,y_1) as a point on the line and m = slope
  • Slope-Intercept form: y=mx+b , with m = slope and b = y-intercept.
  • Slope Formula: \frac{y_2-y_1}{x_2-x_1}

So firstly, we have to convert this standard form equation into slope-intercept form. To start with, add x on both sides of the equation: 3y=x+6

Next, divide both sides by 3 and your slope-intercept form is y=\frac{1}{3}x+2 .

Next, since we know one of the points, the y-intercept (0,2), and the slope, 1/3. We can use the slope formula to get to point-slope form. Our equation looks like this:

\frac{y-2}{x-0}=\frac{1}{3}\\\\\frac{y-2}{x}=\frac{1}{3}

For this, just multiply both sides by x and <u>your point-slope form is y-2=\frac{1}{3}(x)</u>

klemol [59]3 years ago
7 0
Point slope form is y-y1= m(x-x1)
So u need another x and y ull hav to guess with what u hav so like it could start as 2-1 or 3-0 but it’s ur choice
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