Question

What is the slope of the line whose equation is 7x+3y=15? With steps.

Answer 1

Answer: slope, m = -7/3

Step-by-step explanation:

The equation of the line is

7x+3y=15.

To find the slope,

We will consider the standard slope intercept equation also known as the equation of a straight line,

y = mx + c

Where m = slope( change in y values divided by change in x values)

c = the y intercept. This is the point where the straight line cuts across the y axis

Looking at the given equation, 7x+3y=15,

We would need to rearrange it and make y the subject of the formula. It becomes

3y = 15 - 7x

Dividing the right hand side of the equation and left hand side of the equation by 3,

y = -7x/3 + 15. Comparing with the slope intercept equation,

m = -7/3

Answer 2

7x + 3y = 15
3y = -7x + 15
y = -7/3x + 15/3
y = -7/3x + 5

This is the “y=mx+b” form where m, the number in front of x is the slope. Hence, the slope is -7/3.