## anonymous one year ago URGENT! Write an equation in point-slope form for the line through the given point with the given slope. (10,-9); m=-2

1. mathstudent55

You need an equation in this form: $$\large y = mx + b$$

2. anonymous

okay so do you know y=mx=b

3. anonymous

y=mx+b

4. mathstudent55

Let m = the given slope, so m = -2. We now have: $$\large y = -2x + b$$

5. anonymous

sorry ;/

6. Nnesha

*point slope* $\huge\rm y-y_1=m(x-x_1)$

7. imqwerty

i jst came here to smile :)

8. mathstudent55

Now put the x and y of your point in the x and y of our equation and solve for b. $$\large y = -2x + b$$ $$\large -9 = -2(10) + b$$ $$\large -9 = -20 + b$$ $$\large 11 = b$$ Now that we know b = 11, substitute 11 for b. $$\large y = -2x + b$$ $$\large y = -2 x + 11$$

9. mathstudent55

@Nnesha is correct above. They ask for point-slope, not slope-intercept. $$\large y - y_1 = m(x - x_1)$$ $$\large y - (-9) = -2(x - 10)$$