Question

Write the equation for 5x + 2y = 3 in slope-intercept form.

Answer 1

Slope intercept form: y=mx+b
in other words, isolate y.

5x-2y=3

Subtract 5x from both sides
-2y=(-5x+3)

Divide both sides by -2
y=5/2x-3/2

Answer:
y=5/2x-3/2

Answer 2

Slope-Intercept Form states that in the equation of a straight line y=mx+b the slope is the number represented by m that is multiplied on the x, and b is the y intercept i.,e the point where line cut the vertical y-axis.

Given equation: 5x+2y=3 ......[1]

To convert this equation into slope intercept form;

Subtraction Property of equality states that you subtract the same number from both sides of an equation.

Subtract 5x from both sides in equation [1];

`5x+2y-5x=3-5x`

Simplify:

`2y=3-5x` or we can write this as;

`2y=-5x+3` ......[2]

Division property of equality states that you divide the same number from both sides of an equation:

Divide by 2 from both sides of an equation in [2]

`(2y)/(2) =(-5x+3)/(2)`

On simplify:

`y=-(5)/(2)x+(3)/(2)`

Therefore, the given equation in slope intercept form is:
`y=-(5)/(2)x +(3)/(2)`