Which is the equation of a libe that has a slope of 1/2 and passes through (2,-3)

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 - x1

The slope is given as 1/2 and the line passes through (2, - 3)

To determine the intercept, we would substitute x = 2, y = - 3 and m = 1/2 into y = mx + c

y = mx + c. It becomes

- 3 = 1/2 * 2 + c = 1 + c

c = - 3 - 1 = - 4

The equation becomes

y = x/2 - 4