What is the equation of the line in standard form?me i am really having a hard time with this

2x - y = 2

obtain the equation of the line in slope-intercept form

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 2 ) and (x₂, y₂ ) = (- 1, - 4) ← 2 points on the line

m = = = 2

the line crosses the y-axis at (0, - 2 ) ⇒ c = - 2

y = 2x - 2 ← in point-slope form

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange y = 2x - 2 into this form

subtract y from both sides

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

2x - y = 2 ← in standard form

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step-by-step explanation: