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.