1) The slope in context is the rate at which Y is changing with respect to X. It represents how much Y increases or decreases for every one unit increase in X. In this case, the slope can be calculated by finding the change in Y divided by the change in X, or (Y2 - Y1) / (X2 - X1). Using the given data points, we can select any two points and calculate the slope. Let's use the first and fourth data points: (30 - 2) / (15 - 2) = 28 / 13 ≈ 2.15. So, the slope is approximately 2.15.
2) The y-intercept in context represents the value of Y when X equals zero. It is the point where the line intersects the Y-axis. In this case, we can see from the given data that when X is zero, Y is also zero. Hence, the y-intercept is zero.
3) The equation of the line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Since the slope is approximately 2.15 and the y-intercept is zero, the equation of the line is y = 2.15x.
X Y
2 1
4 2
5 2.5
30 15
1) What is the slope in context?
2) What is the y-intercept in context?
3) What is the equation of the line?
1 answer