What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)
y = -3x - 2
y = -3x + 2
y = 3x + 2
y = 3x - 2

Solution:

We have equation of line passing through two points (x₁, y₁) and (x₂, y₂) as,

(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)] (x - x₁)

(y - 4) = [(10 - 4)/(4 - 2)] (x - 2)

(y - 4) = (6/2)(x - 2)

(y - 4) = 3(x - 2)

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

Now, slope-intercept form of line is y = mx + c

Rearranging equation (1) ⇒ y = 3x - 2

Therefore, the required equation is y = 3x - 2

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

Summary:

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