Algebra 1 4.4

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Slide 1:

Evaluate and simplify the ratios when x = 2 and y = –2. ANSWER ANSWER Bell Ringer WarmUps

Slide 3:

Slope Formula Very Important

Slide 4:

EXAMPLE 1 Find a positive slope Let (x1, y1) = (–4, 2) = (x2, y2) = (2, 6). Simplify. Substitute. Write formula for slope. Find the slope of the line shown.

Slide 5:

EXAMPLE 2 Write an equation from a graph GUIDED PRACTICE for Example 1 Find the slope of the line that passes through the points. 1. (5, 2) and (4, –1) = 3 2. (–2, 3) and (4, 6) = = 2

Slide 6:

EXAMPLE 2 Find a negative slope Find the slope of the line shown. Let (x1, y1) = (3, 5) and (x2, y2) = (6, –1). Write formula for slope. Substitute. Simplify.

Slide 7:

EXAMPLE 3 Find the slope of a horizontal line Find the slope of the line shown. Let (x1, y1) = (–2, 4) and (x2, y2) = (4, 4). Write formula for slope. Substitute. Simplify.

Slide 8:

EXAMPLE 4 Find the slope of a vertical line Find the slope of the line shown. Let (x1, y1) = (3, 5) and (x2, y2) = (3, 1). Write formula for slope. Substitute. Division by zero is undefined.

Slide 9:

EXAMPLE 4 Finding a missing coordinate Find the value of the variable. Let (x1, y1) = (2, 3) and (x2, y2) = (x, 9) and m = 3/2 Write formula for slope. Substitute. Cross Multiply. Solve. 3x = 18 x = 6

Slide 10:

EXAMPLE 5 Find a rate of change The table shows the cost of using a computer at an Internet cafe for a given amount of time. Find the rate of change in cost with respect to time. Rate of change