Select the equation in which the graph of the line has a negative slope and the y-intercept equals -4. 1) 5x +3y=4 2) 5x -3y= -4 3) 4x + 16y= -20 4) 6x + 2y = -8
Mathematics · Middle School · Tue Nov 03 2020
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Select the equation in which the graph of the line has a negative slope and the y-intercept = -4.
To do so we can manually solve for each equation, and determine what equation has a negative slope and y-intercept = -4. To do so we covert each equation to slope-intercept form written as y = mx + b, where m is equal to the slope and b is the y-intercept. The process for changing the given equations into slope-intercept form involves transposing of numbers by which when we transpose a number to its opposite side, the sign changes.
1) 5x +3y=4
3y = -5x + 4
2) 5x -3y= -4
3y = 5x + 4
y = 5/3x + 4/3
3) 4x + 16y= -20
16y= -4x - 20
y = -4/16x - 20/16
4) 6x + 2y = -8
2y = -6x - 8
y = - 3x - 4
The slope of the equation is negative and the y-intercept is equal to 4, hence it satisfied the given conditions.
Final answer:
4) 6x + 2y = -8