Question

Find the standard form of the equation of the line that passes through
(1/2,-2) and has slope -4.

Answer 1

standard form of a line: ax + by = c
first you want to put what you know into a equation you know
either
point-slope form: y - y1 = m(x - x1)
or slope-intercept form: y = mx + b

Answer 2

would it be point-slope? @jigglypuff314

Answer 3

if you know point-slope, plug in and tell me what you get
because once you get that then you would solve so that the values with x and y are alone on one side.

Answer 4

point-slope form: y - y1 = m(x - x1)
given (1/2,-2) and has slope -4
y + 2 = (-4)(x - (1/2)) distribute
y + 2 = (-4)(x) - (-4)(1/2) simplify
y + 2 = -4x + 2 subtract 2 from both sides
-2 -2
y = -4x add 4x to both sides
4x + y = 0 so that would be your answer

If you don't understand something, feel free to ask :)

Answer 5

how would u know when to use point slope and slope intercept form? @jigglypuff314

Answer 6

it would be a preference or what your teacher had taught you

Answer 7

OH okay thank you