Question

Consider the linear function that is represented by the equation Y =-10x+6 and the linear function that is represented

by the equation Y-36 = 8(x-4). Which statement is correct regarding their slopes and y-intercepts?
O The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept.
O The function that is represented by the equation y=-10x+6 has a steeper slope, and the function that is
represented by the equation Y-36 = 8(x-4) has a greater y-intercept.
O The function that is represented by the equation Y-36 = 8(x-4) has a steeper slope, and the function that is
represented by the equation Y = -10x+6 has a greater y-intercept.
O The function that is represented by the equation Y-36 = 8(x-4) has a steeper slope and a greater y-intercept.

Answer 1

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Answer:

(a) The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept

Explanation:

If we take the "steepness" of the slope to be the absolute value of the slope, then the line y=-10x +6 has a slope with a steepness of 10.

The line y -36 - 8(x -4) has a slope with a steepness of 8, so the first line is steeper.

The line y=-10x+6 has a y-intercept of 6. The line y-36 =8(x -4) has a y-intercept of 4, so the first line has a higher y-intercept.

The appropriate description of the two lines is ...

The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept