Write an equation for (1, 2) and (0, 7)

Answer 1

Using the slope-intercept form of a linear equation, the equation can be written as:

y = mx + b

To find the slope (m), we can use the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the given coordinates (1, 2) and (0, 7):

m = (2 - 7) / (1 - 0)
m = -5 / 1
m = -5

Now, we can substitute the slope (m) and one of the points (1, 2) into the equation and solve for b:

2 = -5(1) + b
2 = -5 + b
b = 2 + 5
b = 7

Therefore, the equation for the line passing through the points (1, 2) and (0, 7) is:

y = -5x + 7