It looks like this: y = mx + c.
Don’t worry—it’s not as scary as it looks. Let’s break it down step by step.
The letter y represents the vertical value on a graph. The letter x represents the horizontal value. Together, they make points on a coordinate plane.
Now, what about m and c?
m is called the slope, or gradient. It tells us how steep the line is.
c is the y-intercept. That’s just the point where the line crosses the y-axis.
Let’s look at an example. Suppose we have the equation: y = 2x + 1.
Here, the slope
𝑚
m is 2, and the intercept
𝑐
c is 1. That means the line crosses the y-axis at the point
(
0
,
1
)
(0,1).
The slope of 2 tells us that for every step we go to the right, the line goes 2 steps up. So the line is quite steep.
If we change the equation to y = 0.5x + 1, the slope becomes smaller. Now, for every step to the right, the line only goes up by half a step. The line looks much flatter.
And if the slope is negative, like in y = -x + 1, the line goes downwards as we move to the right.
So remember:
m controls the tilt of the line (up, flat, or down).
c decides where the line starts on the y-axis.
This simple formula, y = mx + c, is super powerful because it lets us draw any straight line on a graph.
That’s it! Now you understand the basics of straight-line equations.
Thanks for watching, and keep practicing—math gets easier the more you work with it!
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Welcome to linear equations! The formula y equals mx plus c might look intimidating, but it's actually quite simple. This equation describes any straight line on a coordinate plane. The letter x represents horizontal values, while y represents vertical values. Together, they create points on our graph. Let me show you some example points to demonstrate this concept.
Now let's focus on the slope, represented by the letter m. The slope tells us how steep the line is. When m equals 2, the line is quite steep - for every step we go to the right, the line goes 2 steps up. When m equals 0.5, the line is much flatter - for every 2 steps right, it only goes 1 step up. And when m is negative, like negative 1, the line goes downward as we move to the right. The slope controls whether the line tilts up, stays flat, or tilts down.