This table gives a few (x, y) pairs of a line in the coordinate plane. x y
48 -30
61 -45
74 -60
What is the x-intercept of the line?

22

Step-by-step explanation:

First, find the equation of the line in slope-intercept form, y = mx + b.

Using the coordinates of these two pairs, (48, -30) and (61, -45), the slope (m) can be calculated as follows:

Find the y-intercept (b) by substituting x = 48, y = -30, and into y = mx + b:

Solve for b.

Add to both sides

Substitute and into y = mx + b

The x-intercept of the line with the above equation, would be the value of x when y = 0. This is the value of x where the line cuts across the x-axis. To calculate this, substitute y = 0 into .

Subtract from both sides

Divide both sides by

The x-intercept = 22

the correct answer is the second option

b). 4320 have a nice day