Three Ways To Represent Slope

Question 1

What is some information regarding slope - intercept form?

Answer 1

A line with the equation y = mx + b has a slope m and y = intercept b

When x = 0 then y = b, so b is the y - intercept AND when x = 1 then y = m + b

Plug the x and y coordinates given and the slope in order to solve for the y - intercept. The final form is y = mx + b

Question 2

What is point - slope form and what is the formula?

Answer 2

An equation of the line that passes through the point (x₁ , y₁ ) and has a slope m (assuming the line is nonvertical): y - y₁ = m ( x - x₁ )

This is a great formula to use when given point and a slope. The steps are;

1. Find slope of the line if it is not given
2. Calculate the y - intercept by substituting a given point into y = mx + b AND then solve for b OR substitute point and slope into point - slope form.

Question 3

What is the standard form for slope?

Answer 3

The graph of an equation can be written in the form Ax + By = C

Where A and B are not both zeros, is a line

If A or B is greater than 0 then is is a line, if not then it is nothing