Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
2x–y=0
To write the equation 2x – y = 0 in slope-intercept form, we need to isolate y on one side of the equation and express it in terms of x. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept.
Let's rearrange the equation step by step:
2x – y = 0
First, we can move the 2x term to the right side of the equation by adding y to both sides:
-y = -2x + 0
To make the equation more clear, we can multiply both sides by -1 to get y as the subject of the equation:
y = 2x + 0
Notice that the y-intercept is the value of y when x is equal to zero. In this case, the y-intercept is 0. Let's circle it:
y = 2x + 0
y = 2x
so what is the y-intercept? You can also write this as
y = 2x + 0
so now the slope and intercept are explicitly shown.