Question

What is the slope of -15x + 10y = 50?

m = 15
m = 2/3
m = 5
m = 1
m = 3/2

Answer 1

`\huge{ \boxed{m = (3)/(2) }}`

Explanation:

`- 15x + 10y = 50`

Equation of a line is given by

`\bold{y = mx + c}`

where

m is the slope

c is the y intercept

To find the slope, we must first rewrite the equation in the given form y = mx + c and compare both equations.

`- 15x + 10 y = 50 \\ \\ 10y = 15x + 50 \\ \\ (10y)/(10) = (15)/(10) x + (50)/(10) \\ \\ y = (3)/(2) x + 5`

Comparing it with the general equation y=mx + c,

`m = (3)/(2) \\`