find the value of y so that the line through the pair of points have the given slope

Question

(-3,-5) (4,y) m= 3

Answer 1

Hey Aijha -- here's a "kitchen-table" approach you may like ... m= "rise over run" ... the run is 7 from -3 to 4. The rise must be 3 times the run or 21 ... 21 slots up from -5 lands at y=16 ... Best regards :)

Answer 2

Recall that the slope, m, of a line given two points, (x₁, y₁) and (x₂, y₂), on the line is defined by the following formula:

               m = (y₂ - y₁)/(x₂ - x₁)

Given:     (x₁, y₁) = (-3, -5)

              (x₂, y₂) = (4, y)

              m = 3

Plugging in the given values into the formula for the slope we arrive at the following:

          3 = (y - (-5))/(4 - (-3))

          3 = (y + 5)/(4 + 3)

          3 = (y + 5)/7

Multiplying both sides by 7 we get....     21 = y + 5

To solve for y, subtract 5 from both sides:          y = 16