Question

Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15

Answer 1

Step-by-step explanation:

Equation of a line is y = mx + b

where

m is the slope

b is the y intercept

First question

a.)

y = 3x - 4

Comparing with the general equation above

Slope / m = 3

The y intercept / b = - 4

Second question

b).

4x - 5y = 15

First we must write the equation in the general equation above by making y the subject

That's

5y = 4x - 15

Divide both sides by 5

That's

$\frac{5y}{5} = \frac{4}{5} x - \frac{15}{5}$

We have

$y = \frac{4}{5} x - 3$

Comparing with the general equation above

Slope = 4/5

Y intercept = - 3

Hope this helps you