What is the equation in point-slope form of the line passing through (4, 0) and (2, 6)?

Solution:

Given that, (\((x)_{1}\), \((y)_{1}\)) = (4, 0) and (\((x)_{2}\), \((y)_{2}\)) = (2, 6)

We need to find the slope first. The slope formula is Slope(m) = (\((y)_{2}\) − \((y)_{1}\)) / (\((x)_{2}\) − \((x)_{2}\))

Substituting the values, we get

Slope(m) = (6 - 0) / (2 - 4)

Slope(m) = 6/-2

Slope(m) = -3

You can find the slope using Cuemath's slope calculator.

The point-slope formula states (y − \((y)_{1}\)) = m (x − \((x)_{1}\))

Substituting the values (y - 0) = -3(x - 4)

Hence, The Equation in the Point-Slope Form of the Line Passing through (4, 0) and (2, 6) is 3x + y = 12.

What is the equation in point-slope form of the line passing through (4, 0) and (2, 6)?

Summary:

The Equation in Point-Slope Form of the Line Passing through (4, 0) and (2, 6) is 3x + y = 12.