Question

Complete the point-slope equation of the line through -6 comma 5 and -3 comma -3

Answer 1

Explanation:

Given points

• A (-6,5)
• B (-3,-3)

`{\boxed{\sf Slope_((m))=(y _2-y_1)/(x_2-x_1)}}`

• Substitute the values

`\qquad {:}\longrightarrow\mathbb m=\frac {-3-5}{-3+6}`

`\qquad {:}\longrightarrow\mathbb m=\frac {-8}{3}`

`\therefore\sf Slope=\frac {-8}{3}`