Final answer:
To find the y-intercept from the slope and two ordered pairs, apply the slope-intercept form y = mx + b, plug in one pair and the slope, and solve for b.
Step-by-step explanation:
Finding the Y-Intercept from Slope and Ordered Pairs
To find the y-intercept from the slope and two ordered pairs, you can use the slope-intercept form of a linear equation, which is y = mx + b. Here, m is the slope and b is the y-intercept. If the slope is given and the coordinates of two points are known, you can plug in the values of one of the points and the slope into the equation to solve for b.
For example, if the slope (m) is approximately 0.09 and the ordered pairs are (294.5, 61) and (364, 70), you can use one of these pairs to find the y-intercept. Using the point (294.5, 61), the equation becomes 61 = 0.09(294.5) + b. You would then solve for b to get:
61 = 26.505 + b
b = 61 - 26.505
b = 34.495
Therefore, the y-intercept (b) is approximately 34.495.