Question

Which statements are true about the equation y=- 3/5 x+8 ? Select all that apply.

A) The slope of the line is 8.
B) The slope of the line is - 3/5 .
C) The y-intercept of the line is 8.
D) The slope of the line is negative.
E) The y-intercept of the line is - 3/5 .

Answer 1

The equation y = -3/5 x + 8 represents a straight line. The correct statements about this equation are: B) The slope of the line is -3/5. C) The y-intercept of the line is 8. D) The slope of the line is negative.

Step-by-step explanation:

The equation y = -3/5 x + 8 represents a straight line. To determine the true statements about this equation:

1. The slope of the line is -3/5. The coefficient of x (-3/5) represents the slope of the line, indicating that for every increase of 1 unit in x, y will decrease by 3/5 units.
2. The y-intercept of the line is 8. The constant term in the equation (8) represents the y-intercept, which is the point where the line crosses the y-axis.
3. The slope of the line is negative. Since the slope is -3/5, it is indeed negative.

Therefore, the correct statements are: B) The slope of the line is -3/5. C) The y-intercept of the line is 8. D) The slope of the line is negative.