Question

What is the equation of the following line written in slope-intercept form?

2x−5y=3

A. y=−25x−35
B. y=−25x + 35
C. y=25x−35
D. i don't know.

Answer 1

To write the equation \(2x - 5y = 3\) in slope-intercept form (\(y = mx + b\)), where \(m\) is the slope and \(b\) is the y-intercept, let's isolate \(y\):

\[2x - 5y = 3\]

Subtract \(2x\) from both sides:

\[-5y = -2x + 3\]

Divide both sides by \(-5\):

\[y = \frac{2}{5}x - \frac{3}{5}\]

So, the correct option is not provided among the given options. The slope-intercept form for the given equation is \(y = \frac{2}{5}x - \frac{3}{5}\).

Answer 2

The answer is a. y = -2/5 x - 3/5.

Isolate y:

Start with the given equation: 2x - 5y = 3

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

Solve for y:

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

Now the equation is in slope-intercept form, y = mx + b, where:

m (slope) = 2/5

b (y-intercept) = -3/5