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Slope and y intercept

Slope and y intercept-example-1

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Slope: -0.6

Y-intercept: 6

The point-slope form of linear equations:

y = mx + b

where:

m is the slope of the line

b is the y-intercept of the line

x is the independent variable (in this case, the number of minutes since the experiment began)

y is the dependent variable (in this case, the temperature of the liquid)

We can find the slope and y-intercept by using two points on the line. From the graph, two convenient points are:

(0, 6) - This is the y-intercept, as it is the point where the line crosses the y-axis.

(10, 4) - This is another point on the line.

Substituting these points into the point-slope form, we get:

4 = m(10) + b

Solving for m, we get:

m = -0.6

Now that we know the slope, we can plug it back into the equation along with the y-intercept (6) to get the equation of the line:

y = -0.6x + 6

Therefore, the slope of the graph is -0.6 and the y-intercept is 6.

User Saiful Azad
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