write an equation that is perpendicular to x - 3y =3 and passes through the point (5,-9) in slope-intercept form.

9514 1404 393

  y = -3x +6

Step-by-step explanation:

The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.

The equation will look like ...

  x -3y = 3 . . . . . . . . . . . . . given line

  3x +y = constant . . . . . . perpendicular line

where "constant" can be found by substituting for x and y.

  3x +y = 3(5) +(-9)

  3x +y = 6 . . . . equation in standard form

To put this in slope-intercept form subtract 3x:

  y = -3x +6

$8

step-by-step explanation:

it is pretty much backwards.

you take the 4x2 multiply that, and that is = $8

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.