Answer: y = 7x - 3
graphed equation attached
Step-by-step explanation: Slope-intercept form . y= mx+b
m is the slope, b is the constant, the y-intercept.
First find the slope: rise/run
Rise is the difference in y-values 18-4 = 14
Run is the difference between x-values 3 - 1 = 2
The Slope is 14/2 simplify:
m = 7
Use this calculated slope with values of y and x from either of the given coordinates and calculate b
y = mx + b
18 = 7(3) + b
18 = 21 + b . subtract 21 from both sides 18 - 21 = 21 -21 + b
-3 = b
Put these calculated values for m and b into the slope-intercept equation"
y = 7x - b