Question

What is an equation of the line that passes through the points left bracket, 4, comma, 0, right bracket(4,0) and left bracket, 3, comma, 1, right bracket(3,1)?

Answer 1

The equation of the line passing through the points (4,0) and (3,1) is y = -x + 4.

Step-by-step explanation:

To find the equation of the line passing through the points (4,0) and (3,1), we can use the point-slope form of a linear equation: y - y1 = m(x - x1).

First, let's find the slope (m) of the line using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the points (4,0) and (3,1), we get: m = (1 - 0) / (3 - 4) = 1 / -1 = -1.

Now, using the point-slope form and the point (4,0), we can write the equation of the line as: y - 0 = -1(x - 4). Simplifying, we get: y = -x + 4.