graphing equations practice (0,2) (1,-1) write the equation of the line slope intercept form

Answer 1

To find the equation of the line in slope-intercept form, we first need to find the slope of the line using the given points (0,2) and (1,-1).

Slope (m) = (y2 - y1) / (x2 - x1)
= (-1 - 2) / (1 - 0)
= -3 / 1
= -3

Now that we have the slope, we can use it along with one of the points to find the y-intercept (b).

Using the point (0,2):
2 = -3(0) + b
2 = b

Therefore, the y-intercept (b) is 2.

Now, we can write the equation in slope-intercept form (y = mx + b) using the slope (-3) and the y-intercept (2):

y = -3x + 2

So, the equation of the line passing through the points (0,2) and (1,-1) in slope-intercept form is y = -3x + 2.