Answer:
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.
