Transform -4x+5y=-3 into slope-intercept form (y=mx+b)

Answer 1

To transform -4x+5y=-3 into slope-intercept form, you need to isolate y on one side of the equation.
Start by moving -4x to the right side of the equation by adding 4x to both sides:
5y = 4x - 3
Next, divide both sides of the equation by 5 to solve for y:
y = (4/5)x - 3/5
The equation is now in slope-intercept form. Therefore, the slope (m) is 4/5 and the y-intercept (b) is -3/5.

Answer 2

Transform 6x+−2y=−9 into slope-intercept form

Answer 3

To transform 6x - 2y = -9 into slope-intercept form, you need to isolate y on one side of the equation.
Start by moving 6x to the right side of the equation by subtracting 6x from both sides:
-2y = -6x - 9
Next, divide both sides of the equation by -2 to solve for y:
y = 3x + 4.5
The equation is now in slope-intercept form. Therefore, the slope (m) is 3 and the y-intercept (b) is 4.5.

Answer 4

Transform y−9=4(3x+5) into slope-intercept form (y=mx+b )

Answer 5

To transform y - 9 = 4(3x + 5) into slope-intercept form, you will first need to simplify the right side of the equation.

y - 9 = 4(3x + 5)

Distribute 4 to the terms inside the parentheses:

y - 9 = 12x + 20

Next, move the constant term (-9) to the right side of the equation by adding 9 to both sides:

y = 12x + 20 + 9

Simplify the right side:

y = 12x + 29

The equation is now in slope-intercept form. Therefore, the slope (m) is 12 and the y-intercept (b) is 29.