Question

Find the gradient of the line segment between the points (-3,2) and (4,4).

Answer 1

Answer:

= 2

7

Step-by-step explanation:

slope = y2 - y1

x2 - x1

=4 - 2

4 - -3

= 2

7

y - 4 = 2

x - 4 7

7(y - 4) = 2(x - 4)

7y - 28 = 2x - 8

7y = 2x - 8 + 28

7y = 2x + 20

7 7 7

Gradient = 2

7

Answer 2

Answer:

slope = $\frac{2}{7}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)

m = $\frac{4-2}{4-(-3)}$ = $\frac{2}{4+3}$ = $\frac{2}{7}$