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### Course: Algebra 1>Unit 5

Lesson 1: Intro to slope-intercept form

# Slope and y-intercept from equation

In an equation in slope-intercept form (y=mx+b) the slope is m and the y-intercept is b. We can also rewrite certain equations to look more like slope-intercept form. For example, y=x can be rewritten as y=1x+0, so its slope is 1 and its y-intercept is 0.

## Want to join the conversation?

• Where am i gonna need to know slope
• u need to know this in 8th grade
• is the y intercpet when it touch the line.
• Wording is important here. The y-intercept is where the line crosses the y-axis (touches the y-axis).

Great question. Hope this helps. <|:)
• you dint answer any of them you just did the equation how am i suposed to put the peices together
• I'm not completely sure what you mean, but I'll try to explain as best as I can:

You're not supposed to solve the equation for y=mx+b. For y=mx+b is more like plugging in the numbers to help you draw a graph and identify points. For example, if you have the equation y=5x+8, you would use a graph to identify the points, you would use the rise over run method for this. Let's say a point is 2,18. x=2 and y=18. To check if this is correct you would solve the equation as shown.
18=5(2)+8, 18=10+8, 18=18.

The equation is like a puzzle for you to solve and fill in the missing pieces.
I hope this helps!
• I don't understand would the y intercept be the reciprocal?
• I have a question, so what if there is a =n equation y=4.5x, we found the slope, but where is the y intercept?
• How would this equation be graphed on a graph??

y = -14 + -10
• Thou must think 2 dimensionally. Thou art solving for y, without an x. Furthermore, thou havest infinite x values so thy graph shall be a straight line at the y value of -24
• why is this important
• There are many real-life examples of lines that would be in slope-intercept form. It moves from theory to practical in many fields of study as well as in many things you do on an almost daily basis even though you might not realize it.
• I have a math equation and it says "Amy charges \$100 for 8 hours of tutoring" This is a direct variation and how would I know which is the {X} and would it be like this y=100x+8 do we know if it is {+,-,/, and X} which one would make sense...pls help me I am so confused.
whenever using slope, depending on the problem, can a slope be infinite?
Idk if its possible but can someone try answering my question?
thanks!!ヾ(•ω•`)o
• The line goes on infinitely, but infinity slopes kind of exist. If there is a line going straight up and down, the slope will be undefined, or infinite. However, it is typically undefined, because of the issues with dividing by zero.
• Can m=my+b solve for the x intercept?