What does y mx b equal

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Add comment. This value tells me that, for every increase by 1 in my input variable t , I get a decrease of 32 in my output variable v. The slope tells me that, for every second that passes, the speed of the ball decreases by 32 feet per second. Also, by the way, the velocity will eventually become zero when the ball reaches the peak of its arc , and will then become negative when gravity takes over and pulls the ball back down to the ground. The exercise defines v as measuring the velocity of the ball.

The intercept value tells me that, when the ball was released, it was launched upward at a speed of feet per second. This value tells me that, for every increase by 1 in my input variable x , I get an increase of 9. The slope tells me that, fo every increase in the pollution index by one unit say, from a pollution index of 6 to a pollution index of 7 , there are nine or ten more fish deaths during the year. Why "or"? Because the 0. The number of fish found will be a whole number; in this case, that whole number is expected to be either nine or else ten.

The intercept value tells me that, even if the index were zero that is, even if the water were utterly pure , there would still be about fish deaths a year anyway. Word problems with linear equations that is, with straight-line models almost always work this way: the slope is the rate of change, and the y -intercept is the starting value.

I can't, off the top of my head, think of any instance in which this would not be the case. The main difficulty is usually in interpreting the horizontal variable, especially when that variable is keyed to a certain year. Always make sure that you're clear on the definitions of the variables, and you should be fine.

Let us consider a line whose slope is 'm' and whose y-intercept is 'b'. Let x,y be any other random point on the line whose coordinates are not known. We obtain the graph as follows.

To find the y-intercept, substitute the value of 'x' as 0 in the equation and solve for 'y'. The slope value can be positive or negative. Here, 'm' gives the slope and 'b' gives the y-intercept of the equation.

Example 1: Find the equation of the line whose graph contains the points 1,3 and 3,7. Example 2: Find the slope-intercept form of a line with slope -2 and which passes through the point It is called as the slope intercept form. For two coordinates, x 1 ,y 1 and x 2 , y 2 , the slope of a line is the ratio of difference between the difference between the y coordinates and the difference between x coordinates, also known as the rise over the run.