Question

Obtain slope (m) and Intercept (c) for the straight line 3y – 2x = 5.

Answer 1

Explanation:

on comparing with

y=mx+c

3y – 2x = 5.

3y=2x+5

y=2/3x+5/3

hence m=2/3

c=5/3

Answer 2

Answer:

Slope (m) - $\frac{2}{3}$

Intercept (c) - $\frac{5}{3}$

Explanation:

We are given the equation:

$3x - 2y = 5$

We have learned that the slope-intercept equation is:

$y = mx + c$

To get the given equation in this form, we need to rearrange it as follows-

⇒ $3y - 2x = 5$

⇒ $3y = 2x + 5$

⇒ $y = \frac{2x }{3} + \frac{5}{3}$

This equation is now in $y = mx + c$ form.

Where,

⇒ m is the slope.

⇒ c is the intercept.

For $y = \frac{2x}{3} + \frac{5}{3}$,

⇒ slope (m) = $\frac{2}{3}$

⇒ intercept (c) = $\frac{5}{3}$

Conclusion:

The slope (m) is $\frac{2}{3}$ and the intercept (c) is $\frac{5}{3}$.