$\"\"$

The line equation in slope-intercept form is $\"\"$ ,

where m is the slope and b is the y-intercept.

First find the slope of the line.

$\"\"$ (Substitute 6 for x₁, 0 for y₁, 0 for x₂ and 4 for y₂)

$\"\"$ (Additive identity property: a + 0 = a )

$\"\"$

Substitute $\"\"$ and x₁= 6 and y₁ = 0 in point-slope formula

$\"\"$ .

$\"\"$

$\"\"$ (Apply distributive property)

$\"\"$ (Simplify)

$\"\"$

The slope-intercept form line equation is $\"\"$ .