Question

Make a x and y table that has a slope of -5 what’s the y intercept

Answer 1

To create a table with a slope of -5, we can choose any values for x and find the corresponding y values using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept.

Let's choose some x values and calculate the y values using the given slope of -5. For simplicity, let's use the x values -2, -1, 0, 1, and 2.

When x = -2:
y = (-5)(-2) + b
y = 10 + b

When x = -1:
y = (-5)(-1) + b
y = 5 + b

When x = 0:
y = (-5)(0) + b
y = 0 + b

When x = 1:
y = (-5)(1) + b
y = -5 + b

When x = 2:
y = (-5)(2) + b
y = -10 + b

Since the equation is y = mx + b, and in the given case, m = -5 (slope), we can replace m in the above equations. Simplifying further:

When x = -2:
y = -10 + b

When x = -1:
y = -5 + b

When x = 0:
y = 0 + b

When x = 1:
y = -5 + b

When x = 2:
y = -10 + b

As you can see, the equation is of the form y = x + b. To find the value of b, which represents the y-intercept, we need to observe the y value when x = 0. In this case, y = 0 + b, making y equal to the y-intercept.

Therefore, the y-intercept is 0.