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### Course: Pre-algebra>Unit 13

Lesson 5: Intro to slope-intercept form

# Worked examples: slope-intercept intro

Worked examples practicing the relationship between slope, y-intercept, and linear equation in slope-intercept form.

## Want to join the conversation?

• is slope x?
• I learned that the slope is the change in y over the change in x, like: y/x. Hope this helps.
• How exactly do you know how a slope as a fraction is a positive or negative?
• Or if the line is to the left or right (left is negative or decreasing, Right is positive increasing)
• i learnt the equation as y=mx=c does it make a difference?
• Just note that it is not always the same value as the C in standard form, Ax + By = C
• What exactly is Slope-Intercept form?
• Slope-intercept form is a way of writing a linear equation. The slope-intercept form is written as y = m*x + b where m is the slope of the line and b is the y-value where the line intersects the y-axis.
• why IS the slope the letter M it should be x that confused me
• If the slope was X, then what happens to the variable X that's in a linear equation? X can't be used twice to represent different things in the same equation. M was selected for slope many many years ago to represent slope.
• Is this course for high school students or college students
• This is taught in algebra 1, which is usually taught in high school. In college, it is quite common to review key concepts, so it may be taught as there as review material
• why the (slope changes in y/change in x) why can,t it can be reciprocal
• Slope is a measurement of how fast the line is rising/falling. This is why we want change in Y on top - it is the component that gives the rise/fall of the line. Y is the dependent variable - its value depends upon the value of X. So, the measurement of slope helps understand this relationship.

IF you use the reciprocal, then the mesurement becomes how fast is a line moving to the left/right which is not meaningful given the "x" is the independent variable.
• But what if m = 0 and x = a whole number?
• Solomon.If the equation is y=mx+b,and M is 0.The equation will be 0x+b.Because a number time 0 is 0,y will equal the slope intercept in a line that is perfectly horizontal