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{y = -4x - 6
{-4x - y - 6 = 0

User Pmqs
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y = -4x - 6 and -4x - y - 6 = 0 are both representations of the same linear equation.

The first equation, y = -4x - 6, is in slope-intercept form, where y is the dependent variable, x is the independent variable, -4 is the slope and -6 is the y-intercept. This means that when you graph this equation, the slope of the line will be -4 and the y-intercept will be -6.

The second equation, -4x - y - 6 = 0, is in standard form, where the variables are on one side of the equation and the constants are on the other side. To get this equation, you can move the y term to the other side by adding y to both sides, and then move the constants to the other side by adding 6 to both sides.

Both equations represent the same line. They are just in different forms, one is in slope-intercept form and the other is in standard form.

User Feilong
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8.6k points
3 votes

Answer:

infinite number of solutions

Explanation:

y = - 4x - 6 → (1)

- 4x - y - 6 = 0 → (2)

substitute y = - 4x - 6 into (2)

- 4x - (- 4x - 6) - 6 = 0 ← distribute parenthesis and simplify left side

- 4x + 4x + 6 - 6 = 0

0 = 0 ← true statement

when both sides have the same numeric value

this indicates the system has an infinite number of solutions.

User Giorgio
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8.3k points

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