y = -x + 6
To solve for the slope, choose two pairs of coordinates and substitute their values into the slope formula.
Let (x1, y1) = (1, 5)
(x2, y2) = (2, 4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 5)/(2 - 1)
m = -1/1
m = - 1
Therefore, the slope, m = -1.
For the y-intercept, choose one of the given points, and use it along with the slope to solve for the y-intercept. Using point (2, 4) and the slope, m = -1, substitute their values into the slope-intercept form:
y = mx + b
4 = -1(2) + b
4 = -2 + b
Add 2 to both sides to solve for b:
4 + 2 = -2 + 2 + b
6 = b
Therefore, the linear equation is :
y = -x + 6
Please mark my answers as the Brainliest, if you find this helpful :)
