Question

WILL GIVE A MEDAL
What is the equation of a line that passes through point (1, -2) and has a slope of 1/3?

Answer 1

y = mx+b is the general equation

m is the slope
b is the y-intercept

Answer 2

m = 1/3 is given

Answer 3

(1,-2) is the given point

so x = 1 and y = -2

Answer 4

y = mx+b

y = (1/3)*x+b

-2 = (1/3)*(1)+b

solve for b

Answer 5

But I got -7/3, but the answer choices are

3x - y - 7 = 0

x - 3y + 7 = 0

x - 3y - 7 = 0

Answer 6

if use the more general form y=y1=m(x-x1) that would easier y-(-2)=1/3(x-1)

Answer 7

*(y-y1)=m(x-x1)

Answer 8

and then solve for y

Answer 9

okay just multbly the whole equation by 3

Answer 10

i hope that is clear now for you @z053sme