Question

HELP ASAP

Write the equation of the line that passes through the points (1,-4) and (4, -5).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line

Answer 1

Explanation:

Thanks for my points back

Answer 2

`y+4 = -(1)/(3) (x-1)`

Explanation:

1) First, find the slope of the line. Use the slope formula
`m = (y_2-y_1)/(x_2-x_1)` to find the slope. Substitute the x and y values of the given points into the formula and solve:

`m = ((-5)-(-4))/((4)-(1)) \\m = (-5+4)/(4-1) \\m = (-1)/(3)`

So, the slope is
`-(1)/(3)`.

2) Use the point-slope formula
`y-y_1 = m (x-x_1)` to write the equation of the line in point-slope form. Substitute values for
`m`,
`x_1`, and
`y_1` into the formula.

Since
`m` represents the slope, substitute
`-(1)/(3)` in its place. Since
`x_1` and
`y_1` represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.

`y-(-4) = -(1)/(3) (x-(1))\\y+4 = -(1)/(3) (x-1)`