x y-2 80-1 702 405 10 What is the slope of the line?  Response areaWhat is the y-intercept of the line?  Response areaWhat is the equation of the line?  Response area

1 answer

To find the slope of the line, we use the formula:

Slope = (y2 - y1) / (x2 - x1)

Using the points (x, y) = (2, 80) and (x, y) = (1, 702):

Slope = (702 - 80) / (1 - 2) = 622 / -1 = -622

The slope of the line is -622.

To find the y-intercept of the line, we can use the slope-intercept form of the equation of a line:

y = mx + b

where m is the slope and b is the y-intercept.

Using the point (x, y) = (2, 80) and the slope we found (-622), we can solve for the y-intercept:

80 = -622(2) + b
80 = -1244 + b
b = 1324

Therefore, the y-intercept of the line is 1324.

Finally, we can write the equation of the line using the slope-intercept form:

y = -622x + 1324

So, the equation of the line is y = -622x + 1324.