Question

Write an equation in slope-intercept form of the line that passes through the points

Answer 1

Answer:

y = 3x + 2

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

Given points: (-1, -1), (1, 5)

(-1, -1) = (x1, y1)

(1, 5) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

$\frac{5-(-1)}{1-(-1)}$

Simplify:

5 - (-1) = 5 + 1 = 6

1 - (-1) = 1 + 1 = 2

$\frac{6}{2}=3$

The slope is 3.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (1, 5)) into the equation and solve for b:

5 = 3(1) + b

5 = 3 + b

2 = b

The y-intercept is 2.

Now that we know the slope and the y-intercept, we can write the equation:

y = 3x + 2