How would figure out the slope and intercepts: 1.4x= -14y

To figure out the slope and intercepts of the equation 1.4x = -14y, we can rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

Step 1: Rewrite the equation in slope-intercept form:
1.4x = -14y

Divide both sides of the equation by -14 to isolate y:
1.4x / -14 = -14y / -14
0.1x = y

Now we have the equation in the desired form: y = 0.1x

Step 2: Identify the slope:
We can observe that the coefficient of x in the equation is 0.1, which is the slope. In this case, the slope is 0.1.

Step 3: Identify the y-intercept:
In the slope-intercept form, the value of b represents the y-intercept. Since y = 0.1x, we can see that when x = 0, y will also be 0. Therefore, the y-intercept is 0.

In summary, the slope of the equation 1.4x = -14y is 0.1, and the y-intercept is 0.