Question

Consider the line represented by the equation 5x 2y = 10. how is the slope of the line related to values of a, b, and c in standard form ax by = c? The slope of the line is _____ , which is related to the values of a, b, and c because it is equal to

Answer 1

The slope of the line represented by the equation 5x - 2y = 10 is 5/2, and it is related to the values of a and b in the standard form ax + by = c.

Step-by-step explanation:

The slope of the line represented by the equation 5x - 2y = 10 is determined by the values of a and b in the standard form ax + by = c.

To find the slope, we rewrite the equation in slope-intercept form as y = mx + b, where m represents the slope. Rearranging the given equation, we have: 2y = 5x - 10. Dividing both sides by 2, we get y = (5/2)x - 5. Comparing this equation with y = mx + b, we find that the slope is 5/2. Therefore, the slope of the line is 5/2, which is related to the values of a and b because it is equal to 5/2.