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