Write the slope intercept form of the equations of a line that passes through the points (-2,-4) and (2,4). Show all the steps you used.

Answer 1

To find the equation of a line in slope-intercept form, we need to find the slope and the y-intercept.

Step 1: Find the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1) [Point-slope form]
m = (4 - (-4)) / (2 - (-2))
m = 8 / 4
m = 2

Step 2: Use the slope-intercept form of a line, y = mx + b, and substitute the coordinate values of one of the given points to find the y-intercept (b).
Let's substitute the coordinates of the point (2, 4):
4 = 2(2) + b
4 = 4 + b
b = 4 - 4
b = 0

Step 3: Write the equation using the slope (m) and the y-intercept (b).
The equation is: y = 2x + 0
Since the y-intercept is 0, we can simplify the equation to y = 2x.

Therefore, the equation of the line that passes through the points (-2, -4) and (2, 4) is y = 2x.