# what is the slope of the line whose equation is 5y 6x – 2 = 0?

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## What is the slope of the line whose equation is 5y + 6x – 2 = 0?

**Solution:**

The slope-intercept form of a straight line is used to find the equation of a line.

For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis.

Let us consider a straight line of slope ‘m’ and y-intercept ‘b’.

The slope intercept form equation for a straight line with a slope, ‘m’, and ‘b’ as the y-intercept can be given as: y = mx + b

Given: Equation is 5y + 6x – 2 = 0

Let us use the slope intercept form

i.e y = mx + b where m is the slope.

5y = -6x + 2

Divide both sides by 5

y = -6x/5 + 2/5

By comparing it with the standard form, we get

m = -6/5

Therefore, the slope of the line is -6/5.

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#### Explanation:

**Method 1: convert into standard form: Ax+By=C with slope (−AB)**

5y+6x−2=

6x+5y=2

Slope =−6/5

**Method 2: convert into slope-intercept form y=mx+b with slope m**

5y+6x−2=

5y=−6x+2

y=−65x+25

Slope =−6/5