Question

find the slope of the line 3x+4y-10=0

Answer 1

Slope of the line is

Slope= -coefficient of x÷ coefficient

of y

So

Slope= -(3)/4

Please mark my answer as BRAINLIEST

Answer 2

To find the slope, we re-arrange the equation into the format y = mx + c where m will be the slope and c the y-intercept.

3x + 4y - 10 = 0

Add 10 to both sides:

4y + 3x = 10

Subtract 3x from both sides:

4y = -3x + 10

Divide both sides by 4:

y = -3/4 x + 10/4

Simplify:

y = -3/4 x + 5/2

Find the slope:

Matching y = -3/4 x + 5/2 to y = mx + c

⇒ m = -3/4

⇒ Slope = -3/4

Answer: The slope is -3/4