Write an equation of the line that passes through each pair of points (0,0) and (7,7)

To write the equation of a line that passes through two points, you can use the slope-intercept form of a linear equation, which is given by y = mx + b, where m represents the slope and b represents the y-intercept.

To find the slope (m), you can use the formula:
m = (y2 - y1) / (x2 - x1)

Using the points (0,0) and (7,7), we can plug in these values into the formula to find the slope (m):
m = (7 - 0) / (7 - 0)
m = 7 / 7
m = 1

Now that we have the slope (m = 1), we can find the y-intercept (b). We can substitute the values of one of the points (0,0) into the slope-intercept form (y = mx + b) and solve for b:
0 = 1(0) + b
0 = 0 + b
b = 0

Now that we have both the slope (m = 1) and the y-intercept (b = 0), we can write the equation of the line:
y = 1x + 0
y = x

Therefore, the equation of the line that passes through the points (0,0) and (7,7) is y = x.

clearly, y=x