Question

Math 8: Linear Functions, Part 2

Write an equation in point-slope form that passes through the given
point with the given slope.
2. (-1, 8), m = 1
1. (3,5), m = -4
Please help me ​

Answer 1

`\boxed{\text{1. y + 5 = -4(x - 3); \qquad 2. y - 8 = x + 1}}`

Explanation:

Question 1

The point-slope formula for a straight line is

y – y₁ = m(x – x₁)

x₁ = 3; y₁ = -5; m = -4

Substitute the values

`\boxed{\textbf{y + 5 = -4(x - 3)}}`

The diagram shows the graph of equation 1 (red) with slope -4 passing through (3,-5).

Question 2

x₁ = -1; y₁ = 8; m = 1

Substitute the values

`\boxed{\textbf{y - 8 = x + 1}}`

The diagram shows the graph of equation 2 (green) with slope 1 passing through (-1,8).