Passing through the pair of points. write the equation in the form ax +by = c.
(2,5), (-2,-2)
the equation of the line in the form ax +by = c is
(simplify your answer. use integers or fractions for any numbers in the equation.)

7x - 4y = - 6

Step-by-step explanation:

Obtain the equation in slope- intercept form

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2,5) and (x₂, y₂ ) = (- 2, - 2)

m = = = , thus

y = x + c ← is the partial equation

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

Using (2, 5), then

5 = + c ⇒ c =

y = x + ← in point- slope form

Multiply through by 4

4y = 7x + 6 ( subtract 4y from both sides )

0 = 7x - 4y + 6 ( subtract 6 from both sides )

- 6 = 7x - 4y, that is

7x - 4y = - 6 ← in standard form

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

answer: what do you mean