Substitute the given points into the Slope Formula to calculate the slope.
Line L
Practice makes perfect
We want to determine which of the given lines — L or M — is steeper. To compare the steepness, we can consider the slopes of the lines. The line with a greater absolute value of its slope is considered steeper. Let's find the slopes of the given lines and compare them.
Line L
We can calculate the slope by substituting the given points into the Slope Formula.
m = y_2-y_1/x_2-x_1Note that it does not matter which point we choose to use for ( x_1, y_1) and ( x_2, y_2), since the result of using the Slope Formula will be the same.
The slope of the line that passes through the given points is 4.
Line M
Equations in slope-intercept form follow a certain format.
y=mx+ b
In this form, m is the slope and b is the y-intercept. Let's identify the slope of the given line M.
y=6+3x
⇕
y=3x+ 6
As we can see, m=3, so
the line has a slope of 3.
Comparison
Line L has a slope of 4 and Line M has a slope of 3. The absolute value of the slope of Line L is greater. Thus, Line L is steeper.
