How to Find the Slope from a Linear Equation
Finding the Slope from a Linear Equation
The slope of a line is its steepness.
It is how far up a line goes compared to how far across it goes. The line below has a slope of 2 because it goes up 2 units for every 1 unit it goes across.
A line can be represented by a linear equation. We can find the slope from a linear equation.
Real Examples of Finding the Slope from a Linear Equation
Finding the slope of a line from a linear equation is easy.
Here are some linear equations, which represent lines. We show how to find the slope from the linear equation.
The slope of y = 2x + 1 is 2.
Look at the number in front of the x (called the coefficient of x). This is the slope.
A slope of 2 means that the line will go up by 2 when it goes across by 1.
The slope of y = −3x + 3 is −3.
The number in front of the x is negative. This means the line slopes downwards.
A slope of −3 means that the line will go down by 3 when it goes across by 1.
y = 2 is a horizontal line. It has a slope of 0.
y = 2 does not have an x in it. We can imagine there is an invisible 0 in front of the x which gets rid of it.
A slope of 0 means that the line will neither go up nor down when it goes across by 1.
A linear equation (in slope-intercept form) is given in the form below:
y = mx + c
The m gives the slope of the line.
The slider below explains why the m in a linear equation gives the slope:Open the slider in a new tab