find the equation of the line with an x-intercept of 4 and a y-intercept of -2.

x - 2y = 4

Step-by-step explanation:

The equation of a line in standard form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0 ) ← coordinates of intercepts

m = = = ,

Note the y- intercept c = - 2, thus

y = x - 2 ← in slope- intercept form

Multiply through by 2

2y = x - 4 ( subtract 2y from both sides )

0 = x - 2y - 4 ( add 4 to both sides )

4 = x - 2y, that is

x - 2y = 4 ← in standard form

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step-by-step explanation:

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