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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?


1 What Is The Yintercept Of This Line 2 What Is The Slope Of This Line 3 What Is The Equation For This Line class=

Sagot :

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.

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

m = slope

2 points:

(0, 7)

(2, 3)

Substitute the points into the formula:

[tex] \frac{3}{2} - \frac{7}{0} = m[/tex]

Subtract:

[tex] \frac{ - 4}{2} = m[/tex]

[tex] \frac{ - 4}{2} = m[/tex]Simplify:

[tex] \frac{ - 4 \div 2}{2 \div 2} = - \frac{2}{1} [/tex]

The slope is -2.

Forming an equation:

Use the slope-intercept format.

[tex]y = mx + b[/tex]

m = slope

b = y-intercept

Substitute 7 for b, and -2 for m.

[tex]y = - 2x + 7[/tex]