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Attributes of graphs Identify the information from each equation

Please Help! Attributes of graphs Identify the information from each equation-example-1

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The slope and y-intercept of each is given as: 1. m = 3/2; b = 1.5. 2. m = -4/3; b = 3. 3. m = 5/2; b = 10.

How to identify the attributes of the graph?

In a graph, the slope represents the rate of change or steepness of a line, while the y-intercept is the point where the line crosses the y-axis. Given an equation in the slope-intercept form as y = mx + b, the slope is m while the y-intercept is b.

1. Slope (m) = change in y / change in x = 3/2

m = 3/2

y-intercept is 1.5, this is where the line cuts the y-axis.

2. Rewrite the equation in slope-intercept form: 4x + 3y = 9

3y = -4x + 9

Divide both sides by 3

y = -4/3x + 9/3

y = -4/3x + 3

The slope (m) = -4/3

The y-intercept (b) = 3

3. Using two points, we have:

Slope (m) = change in y / change in x = 10 - 5 / 0 - (-2)

m = 5/2

The y-intercept is 10 (x = 0, when y = 10).

User Paul Medcraft
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