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

Step-by-step 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.

$\frac{y2}{x2} - \frac{y1}{x1} = m$

m = slope

2 points:

(0, 7)

(2, 3)

Substitute the points into the formula:

$\frac{3}{2} - \frac{7}{0} = m$

Subtract:

$\frac{ - 4}{2} = m$

$\frac{ - 4}{2} = m$Simplify:

$\frac{ - 4 \div 2}{2 \div 2} = - \frac{2}{1}$

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.

$y = - 2x + 7$