Question

1. what is the y-intercept of this line?

2. what is the slope of this line?

3. what is the equation for this line?

Answer 1

Explanation:

1. The y-intercept is the value for y when x = 0.

When x = 0, y equals 7.

Represented as:

(0, 7)

2. How to find the Slope?

Find 2 points on the graph then use the slope formula.

`(y2)/(x2) - (y1)/(x1) = m`

m = slope

2 points:

(0, 7)

(2, 3)

Substitute the points into the formula:

`(3)/(2) - (7)/(0) = m`

Subtract:

`( - 4)/(2) = m`

`( - 4)/(2) = m`Simplify:

`( - 4 / 2)/(2 / 2) = - (2)/(1)`

The slope is -2.

Forming an equation:

Use the slope-intercept format.

`y = mx + b`

m = slope

b = y-intercept

Substitute 7 for b, and -2 for m.

`y = - 2x + 7`