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x - 3 = y --> slope = 1, y-intercept = -3

y = 3x - 1 --> slope = 3, y-intercept = -1

y = 1 - 3x --> slope = -3, y-intercept = 1

-x + 3 = y --> slope = -1, y-intercept = 3

Step-by-step explanation:

For the standard linear equation, once you solve the equation for y (slope-intercept form), then you can easily see the slope component and the y-intercept component.

In a slope-intercept form, the y-intercept is the constant being added (the value with no variable) and the slope is the coefficient of the x variable.

Let's look at these equations to show an example of this.

The first equation:

x - 3 = y

The 'x' variable has a coefficient of 1, so the slope is 1.  The constant being added to the equation, -3, shows that the equation has a y-intercept of -3.

Using this same idea, you can apply this to any standard linear equation in slope-intercept form to determine both the slope and y-intercept for the equation.

Cheers.

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