Write the equation of the line in slope intercept form (0,-2),(3,0)

Answer 1

To write the equation of the line in slope-intercept form, we need to find the slope and the y-intercept.

The slope (m) of a line can be found using the formula:

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

Plugging in the coordinates of the two given points (0, -2) and (3, 0):

m = (0 - (-2)) / (3 - 0)
m = 2 / 3

The y-intercept (b) is the point on the line where x = 0. We have one coordinate that falls on the y-axis, which is (0, -2). So the y-intercept is -2.

Now we have the slope (m = 2/3) and the y-intercept (b = -2), we can write the equation of the line in slope-intercept form:

y = mx + b

Substituting the values:

y = (2/3)x - 2

Therefore, the equation of the line in slope-intercept form is y = (2/3)x - 2.