Given points A (0, -3) and B (3, 3), we can solve for the slope y using the formula:
m = (y2 - y1) / (x2 - x1)
Let x1 = 0
x2 = 3
y1 = -3
y2 = 3
m = (y2 - y1) / (x2 - x1)
m = (3 - (-3)) / (3 - 0)
m = (3 + 3) / 3 = 6/3 = 2
Therefore, the slope is m = 2.
For the y-intercept, b, it is the value of y when x = 0.
We’ll use point A (0, -3) and the slope, m = 2 to solve for the y-intercept, b. We’ll plug these values into the slope-intercept form, y = mx + b:
-3 = 2(0) + b
-3 = 0 + b
-3 = b
Therefore, the y-intercept is b = -3
Our linear equation in slope- intercept form is y = 2x - 3