First of all we are requiring a graph. Now we will determine the starting and ending points of line from graph. As we get the coordinates of line we can convert it into an equation with help of a graph. Let us see this process to get the line equation step by step.
Step 1: First of all we require starting points say (x1, y1) and ending points (x2, y2) of line. Now calculate the Slope of line. We have a formula to get the slope of line:
m = (y2 – y1) / (x2 – x1),
Assume that we have the coordinates (2, 0) and (-1, 3) then slope of line will be:
m = (3 - 0) / (-1 - 2) = -1,
Step 2: Now we will calculate the y- intercept. We will multiply the slope of line with starting 'x' point and subtract it from the starting 'y' point as:
y intercept = 0 – (-1) * 2 = 2.
Step 3: Now as we know that equation of line is y = mx + c. Here 'm' is the slope of line and 'c' is the y- intercept of line. We have already calculated 'm' and 'c' of line. Now we will place these values in line equation.
Y = mx + c,
Y = -x + 2,
Step 4: If we want to verify the equation we can put the coordinates in equation and verify it.
0 = -2 + 2 = 0 and,
3 = 1 + 3 = 3.