Write in point-slope form an equation of the line that passes through the point (−2,4) with slope −12.

1.y−4=−12(x−2)

2.y−4=−12(x+2)

3.y+2=−12(x−4)

4.y=−12x+3

y - 4 = -12 ( x + 2)

Step-by-step explanation:

The equation of a line in point - slope form is given as :

= m( )

Where m is the slope and ( , ) is the given point

substituting the values into the formula , we have:

y - 4 = -12 ( x - {-2})

y - 4 = -12 ( x + 2)

42.4

step-by-step explanation:

convert to decimal

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form