The equation 2y + 3x = 4 is rewritten in slope-intercept form as y = -3/2x + 2. The slope (m) is -3/2, indicating a decrease of 3/2 units in y for each unit increase in x. The y-intercept (b) is 2, representing the point where the line crosses the y-axis.
To rewrite the equation 2y + 3x = 4 in slope-intercept form, we isolate y:
Starting with the given equation: 2y + 3x = 4.
Subtracting 3x from both sides: 2y = -3x + 4.
Dividing both sides by 2 to solve for y: y = -3/2x + 2.
So, the slope-intercept form of the equation is y = -3/2x + 2. The slope (m) is -3/2, indicating that for every unit increase in x, y decreases by 3/2 units. The y-intercept (b) is 2, representing the point where the line crosses the y-axis.