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Slope Intercept form
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Slope Intercept form
Real World Problem
Video
Standard
Slope Intercept form
Earth Science. The temperature at Earth’s surface is 20˚C. In the crust below the surface, the temperature rises by about 25˚C per kilometer of depth.
Write an equation that approximates the temperature below Earth’s surface as a function of depth.
Temperature = Rate of change . Depth below + Temp.
below surface in temp. surface at surface
y = 25x + 20
Objective
Use linear equations to solve problems and interpret the meaning of slope, m, and the y-intercept, b, in f(x)= mx + b in terms of the context.
The student will list the slope, y-intercept, and graph the slope intercept equation, given an assessment that contains four problems with at least 80 percent accuracy.
Slope intercept form is used to graph straight line equations. The equation for slope intercept form is y = mx + b. The coefficient in front of the x tells us the slope, and the constant tells us the y-intercept. To graph an equation, first determine the slope (m) and y-intercept (b). Then, plot a point on the y-intercept and use your slope to find the rest of the points.
Real Word Problem
Kate has $200 in her savings account. She gets a job that pays $7.50 per hour and she deposits all her earnings in her savings account. Write the equation describing this problem in slope–intercept form. How many hours would Kate need to work to have $500 in her account?