Step 1: Find the slope
Slope Formula = (y2 - y1) / (x2 - x1)
Point 1 = (-2, 4)
Point 2 = (-3, 5)
slope = (5 - 4) / (-3 - - 2) = (5 - 4) / (-3 + 2) = (1) / (-1) = -1
Step 2: Find the y-intercept
To find the y-intercept, we will take one of the given points as well as the slope and plug them into slope-intercept form. Then, we will solve for b.
Slope-Intercept Form: y = mx + b
Point = (-2, 4)
Slope = -1
4 = -1(2) + b
4 = -2 + b
b = 6
Step 3: Put it all together
Now that we have the slope and the y-intercept, all that's left to do is plug it into slope-intercept form.
Slope-Intercept Form: y = mx + b
Slope = -1
Y-Intercept = 6
y = -x + 6
Hope this helps!! :)
