Answer to Question #293927 in Analytic Geometry for bookaddict

Question

The line joining the point 𝐴 (4,6) 𝑡𝑜 𝐵 (𝑏,−3) has a gradient of 3. Find the value of 𝑏.

Answer 1

$$m=gradient=\dfrac{y_B-y_A}{x_B-x_A}$$

Given $A(4, 6), B(b, -3), m=gradient=3$

Substitute

$$3=\dfrac{-3-6}{b-4}$$

$$b-4=-3$$

$$b=1$$