What is the equation of a line in slope-intercept form where the slope is -3 and the y-intercept is 4?

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Multiple Choice

What is the equation of a line in slope-intercept form where the slope is -3 and the y-intercept is 4?

The equation of a line in slope-intercept form is expressed as \( y = mx + b \), where \( m \) represents the slope and \( b \) denotes the y-intercept. In this case, you are given a slope of -3 and a y-intercept of 4. To construct the equation, substitute -3 for \( m \) and 4 for \( b \) into the slope-intercept formula. This yields: \[ y = -3x + 4 \] This correctly represents the line with the specified slope and y-intercept, where the graph of the line descends from left to right due to the negative slope and crosses the y-axis at the point (0, 4). The other answer choices either incorrectly use an invalid slope or incorrect y-intercept, which does not align with the given parameters. Thus, option C is indeed the correct representation of the line that meets the specified conditions.

The equation of a line in slope-intercept form is expressed as ( y = mx + b ), where ( m ) represents the slope and ( b ) denotes the y-intercept. In this case, you are given a slope of -3 and a y-intercept of 4.

To construct the equation, substitute -3 for ( m ) and 4 for ( b ) into the slope-intercept formula. This yields:

[

y = -3x + 4

]

This correctly represents the line with the specified slope and y-intercept, where the graph of the line descends from left to right due to the negative slope and crosses the y-axis at the point (0, 4).

The other answer choices either incorrectly use an invalid slope or incorrect y-intercept, which does not align with the given parameters. Thus, option C is indeed the correct representation of the line that meets the specified conditions.

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