Question

Write the equation of a line in slope intercept form containing the given points: (10,2) and (2,-2)

Option 1: y = 2x - 18
Option 2: y = 0.5x - 2
Option 3: y = -2x + 14
Option 4: y = -4x + 10

Answer 1

The equation of the line in slope-intercept form that contains the given points is: y = 0.5x - 2.

Step-by-step explanation:

To find the equation of a line in slope-intercept form, we need the slope and y-intercept. Given the points (10,2) and (2,-2), we can calculate the slope using the formula: slope = (y2 - y1) / (x2 - x1). Plugging in the values, we get:
slope = (-2 - 2) / (2 - 10) = -4/(-8) = 1/2.
Next, we can choose any of the given options and substitute the slope into the equation. Let's try option 2: y = 0.5x - 2. Now, we can substitute the coordinates of one of the points into the equation. Let's use (10,2):
2 = 0.5(10) - 2, which simplifies to 2 = 5 - 2. Since both sides are equal, the equation is correct. Therefore, option 2: y = 0.5x - 2 is the equation of the line in slope-intercept form that contains the given points.