What is the slope of the line whose equation is y-2x=4
explain properly
To determine the slope of the line, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m represents the slope.
First, let's rearrange the given equation.
y - 2x = 4
We want to isolate y, so let's add 2x to both sides of the equation.
y - 2x + 2x = 4 + 2x
Simplifying the left side, we get:
y = 2x + 4
Comparing this equation with the slope-intercept form, we can see that the coefficient of x is 2, which represents the slope.
Therefore, the slope of the line is 2.
To find the slope of the line with the equation y-2x=4, we need to rearrange the equation into the slope-intercept form (y = mx + b), where m is the slope.
Step 1: Start with the given equation: y - 2x = 4.
Step 2: To isolate y, we need to move the -2x term to the other side of the equation. We can do this by adding 2x to both sides:
y - 2x + 2x = 4 + 2x
y = 2x + 4
Step 3: Now that the equation is in the form y = mx + b, we can see that the coefficient of x is 2. Therefore, the slope of the line is 2.
So, the slope of the line with the equation y-2x=4 is 2.
y = mx + b
y - 2x = 4
y - 2x +2x = 2x + 4
y = 2x + 4
slope is 2