Find the equation of a line passing through the point (– 2, 3) and having x-intercept 4 units

Given, point (-2, 3) and the x-intercept of the line passing through that point is 4 units.

So, the co-ordinates of the point where the line meets the x-axis is (4, 0)

Now, slope of the line passing through the points (-2, 3) and (4, 0)

m = y₂ – y₁/ x₂ – x₁

m = (0 – 3)/(4 + 2) = -3/6 = -1/2

Hence, the equation of the line will be

y – y₁ = m (x – x₁)

y – 0 = -½ (x – 4)

2y = -x + 4

⇒ x + 2y = 4