Question

Find the equation of this line.

Answer 1

9514 1404 393

Answer:

  y = 1/2x + 1

Step-by-step explanation:

The slope of the line is "rise"/"run", where "rise" is the vertical distance between two points separated by a horizontal distance of "run".

Here, two points are marked that are 4 units apart horizontally (run = 4). The right-most point is 2 units above the left-most point (rise = 2). The slope between these points is ...

  m = rise/run = 2/4 = 1/2

The line crosses the y-axis at y=1, so the "y-intercept" is b=1.

These values can be put into the "slope-intercept form" equation for a line.

  y = mx + b . . . . . . line with slope m and y-intercept b

  y = 1/2x + 1 . . . . . matches the required answer form