Question

Y=-5/2x - 5 find slope

Answer 1

the slope is -5/2

Explanation:

We are asked to find the slope of the following line:

`\sf{y=\cfrac{5}{2}x-5}`

Notice that this equation is given to us in slope intercept form (y = mx + b).

The slope is the number before x - in this case, the slope is -5/2.

The y-intercept is the constant term in this equation. In this case, it's -5.

-Best wishes!

Answer 2

-5/2

Explanation:

To find the slope of the equation y = -5/2x - 5, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope.

Comparing the equation given with the slope-intercept form, we can see that the coefficient of x is -5/2, which is the slope of the line.

Therefore, the slope of the line represented by the equation y = -5/2x - 5 is -5/2.

The negative sign indicates that the line has a negative slope, meaning it is sloping downwards from left to right.

To understand the concept better, let's consider an example:

Suppose we have two points on the line, (1, -7) and (3, -10).

Using the formula for slope, which is (y2 - y1) / (x2 - x1), we can calculate the slope using these points:

Slope = (-10 - (-7)) / (3 - 1)

= (-10 + 7) / (3 - 1)

= -3 / 2

= -1.5

As you can see, the calculated slope is equal to -5/2, which confirms that the line has a slope of -5/2.