# What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?

y = mx + c is the general equation of a straight line involving its slope and its *y*-intercept.

## Answer: The slope-intercept form equation of the line that passes through (2, 4) and (4, 10) is y = 3x - 2.

Let us find the slope-intercept form of the line that passes through the given points.

**Explanation:**

To find the slope-intercept form of the line that passes through the given points we follow the following steps.

**Step-1:**

Find the slope of the line passing through (x_{1}, y_{1}) = (2, 4) and (x_{2}, y_{2}) = (4, 10)

m = (y_{2 }- y_{1}) / (x_{2 }- x_{1}) = (10 - 4)/(4 - 2) = 6/2 = 3

**Slope = m = 3**

**Step-2:**

Let us substitute one of the points and the value of m in the general form to find the value of c.

y = mx + c

10 = 3(4) + c

10 = 12 + c

c = 10 - 12

**c = 2**

So, the slope-intercept form of the required line = y = mx + c is** y = 3x - 2**