Answer:
y = (5/2)x + 1 or
y = 2.5x + 1
Explanation:
The slope-intercept form of the equation of a line is
y = mx + b
where m = slope, b = y-intercept
Slope = rise / run
where rise is the difference in y-values of two points on the line and run = difference in x values for the same two points'
Here the points are (2, 6) and (-2, -4)
rise = 6 - (-4) = 6 + 4 = 10
run = 2 - (-2) = 2 + 2 = 4
Slope = 10/4 = 5/2
Equation is
y = (5/2))x + b
To calculate b, plug in x, y values for (2, 6) to get
6 = (5/2) x 2 + b
6 = 5 + b
b = 6 - 5 = 1
Equation of line is
y = (5/2)x + 1