First use y2-y1/x2-x1
-2-6/-1-1
-8/-2
m= 4
use (1,6) m=4 to substitute into the variables
y=mx+b
6=4(1)+b
6=4+b
2=b
write your equation
y=mx+b
y=4x+2
pleas help
-2-6/-1-1
-8/-2
m= 4
use (1,6) m=4 to substitute into the variables
y=mx+b
6=4(1)+b
6=4+b
2=b
write your equation
y=mx+b
y=4x+2
To calculate the slope (m), you can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points.
Let's apply this formula to the given points (1, 6) and (-1, -2):
m = (-2 - 6) / (-1 - 1)
m = (-8) / (-2)
m = 4
Now that we have the slope (m), we can proceed to find the y-intercept (b).
We can select one of the given points, let's say (1, 6), and substitute the values of x, y, and m into the slope-intercept form equation: y = mx + b
6 = 4(1) + b
6 = 4 + b
b = 6 - 4
b = 2
Therefore, the y-intercept (b) is 2.
Now that we have both the slope (m = 4) and the y-intercept (b = 2), the equation of the line that passes through the given points (1, 6) and (-1, -2) is:
y = 4x + 2