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Writing Linear Functions

Writing Linear Functions 1.5 - Solution

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To write the equation of a line in the slope-intercept form, we must first find both the slope mm and the yy-intercept b.b. The line's bb-value is the yy-coordinate of the point where the line crosses the yy-axis.

We see that the bb-value is 0.50.5. To determine the line's slope, we measure the difference in the yy-direction between two points on the graph that are 11 step away from each other in the xx-direction.

The difference in the yy-direction is -0.5\text{-} 0.5 because the line decreases by 0.5 when moving one step to the right in the xx-direction. The line's slope is m=-0.5m = \text{-} 0.5 and by substituting the mm and bb-values into the equation of a line, we get y=-0.5x+0.5. y=\text{-} 0.5 x+0.5.