Answer:
To find the equation of the line passing through the points (7,20) and (-2,11), we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Step 1: Find the slope (m):
The slope (m) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Let's use the points (7,20) and (-2,11):
m = (11 - 20) / (-2 - 7)
m = -9 / -9
m = 1
Step 2: Find the y-intercept (b):
To find the y-intercept (b), we can substitute the coordinates of one of the points into the equation y = mx + b. Let's use the point (7,20):
20 = 1(7) + b
20 = 7 + b
b = 20 - 7
b = 13
Step 3: Write the equation:
Now that we have the slope (m) and the y-intercept (b), we can write the equation of the line:
y = x + 13
The correct answer is: y = x + 13.
Explanation: