Hey I am working on identify slope and intercept
2 answers:
Answer:
Ok, so slope is basically the steepness of the line, and intercept is when it crosses the x or y axis.
Step-by-step explanation:
To identify the slope, find two points on the line, then use this equation to find the slope: , where x1 and y1 are the coordinates of the first point on the line, and x2 and y2 are the coordinates of the second point on the line. y2 - y1 is called the rise, and x2 - x1 is called the run. Then, to find the intercept (commonly the y-intercept), you must find the point at which the line crosses the axis. This is the easiest part because you just need to find a point on the axis. When you need to find the y-intercept, look for where the line crosses the x-axis, and when you need to find the x-intercept, look for where the line crosses the y-axis.
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Answer:
1)
2) 12 inches tall.
Step-by-step explanation:
1) The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
In this case:
(The height of the candle in inches)
(The time in hours)
Then, we can rewrite it:
Based on the information provided in the exercise, the line passes through these points:
and
Then, we can find the slope of the line with the formula :
Now we need to substitute the slope and one of the points into and then solve for "b":
Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:
2) We must substitute into the linear equation
in order to find the height of the candle after burning 8 hours: