Question

What is the slope-intercept equation of the line below?

O A. y = 2 x + 1
O B. y --4x+1
O C. y - 4x +1
O D. y--3x+1

Answer 1

A.) y = 3/4x + 1

Explanation:

First let's find the slope using the slope formula, (y₂-y₁)/(x₂-x₁). The two points given are (0,1)₁ and (4,4)₂. We have to substitute those values.

y₂ = 4, y₁ = 1, x₂ = 4, x₁ = 0 --> (4 - 1)/(4 - 0) = 3/4

The slope is 3/4.

Now, we have to find the y-intercept, which is where the line meets the y-axis. It touches the y-axis at (0,1). The y-intercept is 1.

Finally, we build our equation in slope-intercept form.

y = mx + b

y = 3/4x + 1