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Question 831300: explain how the equation y=0.1x+40 shows the slope and y-intercept
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! Let x=0; and then y=40, so that is the y-intercept.
The way that y changes as x changes is the coefficient on x. This coefficient is the slope. A less advanced way to see this is to pick any two points on the line. Let x=u and find the resulting y=h. Let x=v and find the resulting y=k. This would give you two points, (u,h) and (v,k). If you compute the ratio of vertical change to horizontal change, (k-h)/(v-u), you should find that it will be equal to 0.1, the coefficient on x.
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If you don't like the use of variables for picking the two points, then just pick any real values and compute the result for the other variable. x=0, what is y? x=3, what is y? So you have two points. Compute (verticalChange)/(horizontalChange).
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