The line represented by the equation 2y-3x=4.find slope and y-intercept
y = 3/2 x + 2
now just read off the slope and intercept.
To find the slope and y-intercept of the line represented by the equation 2y - 3x = 4, we need to rearrange the equation in slope-intercept form, which is y = mx + b.
Let's start by isolating y. Begin by adding 3x to both sides of the equation:
2y - 3x + 3x = 4 + 3x
This simplifies to:
2y = 3x + 4
Next, divide both sides of the equation by 2 to solve for y:
(2y)/2 = (3x + 4)/2
y = (3/2)x + 2
In this equation, the coefficient of x (3/2) is the slope, and the constant term (+2) is the y-intercept.
So, the slope of the line is 3/2, and the y-intercept is 2.
To find the slope and y-intercept of a line represented by an equation, you need to rewrite the equation in slope-intercept form, which is in the form of y = mx + b.
Let's rearrange the given equation, 2y - 3x = 4, to solve for y:
2y = 3x + 4
Now, divide both sides of the equation by 2 to isolate y:
y = (3/2)x + 2
Comparing this equation to the slope-intercept form, we can see that the slope (m) is (3/2) and the y-intercept (b) is 2.
Therefore, the slope of the line is 3/2, and the y-intercept is 2.