Question

Learning

Answer 1

Answer:

The value of u is 6

Step-by-step explanation:

The rule of the slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , where

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

Let us use this rule to solve the question

∵ The slope of the line is -3

∴ m = -3

∵ The two points on the line are (-5, u) and (-4, 3)

∴ $x_{1}$ = -5 and $x_{2}$ = -4

∴ $y_{1}$ = u and $y_{2}$ = 3

→ Substitute these values in the rule of the slope above

∴ $-3=\frac{3-u}{-4-(-5)}$

∴ $-3=\frac{3-u}{1}$

→ By using cross multiplication

∴ -3 × 1 = 3 - u

∴ -3 = 3 - u

→ Add u to both sides to move u from the right side to the left side

∴ -3 + u = 3 - u + u

∴ -3 + u = 3

→ Add 3 to both sides to move -3 from the left side to the right side

∴ -3 + 3 + u = 3 + 3

∴ u = 6

The value of u is 6