Question

Determine the slope and the -intercept of the line.

6x + 8y = 5
O
O
O
3
Slope: Slope: - y-intercept: (0,5)
4
8
Slope: Slope: - y-intercept: 0, 5
3
Slope: ; y-intercept: 0,
4'
100
8
3
Slope: Slope:- : y-intercept:
0,
8

Answer 1

To find the slope and y-intercept of the line 6x + 8y = 5, rearrange the equation into slope-intercept form, y = mx + b. The slope is -3/4 and the y-intercept is 5/8.

Step-by-step explanation:

To determine the slope and y-intercept of the line 6x + 8y = 5, we need to rearrange the equation into slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept. First, subtract 6x from both sides of the equation to isolate the y term: 8y = -6x + 5. Then, divide both sides of the equation by 8 to solve for y: y = (-6/8)x + 5/8. Simplifying further, we have y = (-3/4)x + 5/8.

From this equation, we can see that the slope is -3/4 and the y-intercept is 5/8. So, the answer is: Slope: -3/4, y-intercept: (0, 5/8).

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