What is the slope of a line containing the points 2 4 and 4 5?

Answer 1

The slope of a line containing two points (x1, y1) and (x2, y2) is given by:

Slope = m = (y2 - y1)/(x2 - x1).

So, we have these two points as (x1, y1) = (2, 4) and (x2, y2) = (4, 5).

Let's find the slope m:

m = (5 - 4)/(4 - 2) = 1/2.

Since m > 0, then the line rises from left to right. The equation of the line is:

(y - y1) = m(x - x1) This is the point slope form of a linear equation, let's use the first point:

(y - 4) = (1/2)(x - 2)

y - 4 = (1/2)x - 1

y = (1/2)x + 3 This is the slope-intercept form of a linear equation, y = mx + b

The general form of a linear equation is Ax + By + C = 0;

y = (1/2)x + 3

(1/2)x -y + 3 = 0