Write the following equation in slope-intercept form. State the slope and y-intercept.
18x−9y=7
To write the equation 18x - 9y = 7 in slope-intercept form, we need to isolate y on one side of the equation.
Let's begin by subtracting 18x from both sides:
-9y = -18x + 7
Next, we divide both sides of the equation by -9 to isolate y:
y = (18/9)x - 7/9
Simplifying further, we have:
y = 2x - 7/9
Therefore, the equation in slope-intercept form is y = 2x - 7/9.
The slope is 2 and the y-intercept is -7/9.
To write the equation 18x - 9y = 7 in slope-intercept form, we need to solve for y.
Step 1: Move the 18x term to the other side of the equation.
-9y = -18x + 7
Step 2: Divide both sides of the equation by -9 to isolate y.
y = (-18x + 7) / -9
Step 3: Simplify the equation.
y = 2x - 7/9
The equation 18x - 9y = 7 in slope-intercept form is y = 2x - 7/9.
The slope of the equation is 2, and the y-intercept is -7/9.