Answer:
The equation for the standard form of the line will be:
Explanation:
Given
The equation of a line in standard form
where A is a positive integer and B, C are integers
We know the equation of a line in slope-intercept form
y = mx+b
where m is the slope and b the y-intercept
To calculate the slope, use the gradient formula
m = y₂-y₁ / x₂-x₁
let
(x₁, y₁) = (-4, 0) ∵ x-intercept = (-4, 0)
(x₂, y₂) = (0, 3) ∵ y-intercept = (0, 3)
m = y₂-y₁ / x₂-x₁
= (3 - 0) / (0 - (-4))
= 3 / 4
Thus, the equation in slope-intercept form:
y = mx+b
y = 3/4x + 3
Multiply y = 3/4x + 3 by 4
4y = 3x + 12
3x-4y = -12
3x + (-4y) = -12
Thus, the equation for the standard form of the line will be: