i have to turn these points into slope intercept form and i have no idea how help! (6,2) (-2,-2)
To convert the given points into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:
1. Identify the first point: (6,2)
The x-coordinate is 6, and the y-coordinate is 2.
2. Identify the second point: (-2,-2)
The x-coordinate is -2, and the y-coordinate is -2.
3. Find the slope (m) using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the values into the formula using the coordinates from the points:
m = (-2 - 2) / (-2 - 6)
m = -4 / -8
m = 0.5
4. Once you have the slope, substitute it into the slope-intercept form equation:
y = mx + b
Substitute the values of one of the given points and the slope into the equation:
2 = 0.5 * 6 + b
Solve for b:
2 = 3 + b
b = 2 - 3
b = -1
5. Now you have the slope (m = 0.5) and the y-intercept (b = -1), so the equation in slope-intercept form is:
y = 0.5x - 1
Therefore, the equation in slope-intercept form that passes through the points (6,2) and (-2,-2) is y = 0.5x - 1.