Question

Find the equation for the line that passes through (-1, -2) and (4, 3). Is the

Answer 1

Answer:

The answer to your question is a) y = x - 1  b) the point is not on the line

Step-by-step explanation:

Data

A ( -1, -2)

B (4, 3)

C ( 3, 1)

Process

1.- Find the slope of the line (m)

Formula

 m = $\frac{y2 - y1}{x2 - x1}$

Substitution

m = $\frac{3 + 2}{4 + 1} = \frac{5}{5} = 1$

2.- Find the equation of the line

Formula

    y - y1 = m(x - x1)

Substitution

    y + 2 = 1(x + 1)

Solve for y

   y = x + 1 - 2

   y = x - 1

- Prove that the point (3, 1) is on the line

  1 = 3 - 1

  1 = 2

The point is not on the line because  1 ≠ 2