Question

Identify the slope and y intercept of the following equations. 1. y = 5x - 6 m=_____ B=______2. 5 - 1 2 x = y m=_____ B=______3. 5x+2y=10 m= _____b= ____4.y=x m=_____ B=______

Answer 1

Answer:

0. m=5 and b=-6.

,

1. m=-12 and b=5.

,

2. m= -5/2 and b=5

,

3. m=1 and b=0

Explanation:

The slope-intercept form of the equation of a line is given as:

$\begin{gathered} y=mx+b \\ \text{Slope}=m \\ y-\text{intercept}=b \end{gathered}$

Question 1

$y=5x-6$

Comparing with the form given above:

• m=5 and b=-6.

Question 2

$\begin{gathered} 5-12x=y \\ \implies y=-12x+5 \end{gathered}$

Comparing with the form given above:

• m=-12 and b=5.

Question 3

$\begin{gathered} 5x+2y=10 \\ \implies2y=-5x+10 \\ \implies y=-\frac{5}{2}x+\frac{10}{2} \\ \implies y=-\frac{5}{2}x+5 \end{gathered}$

Therefore:

• m= -5/2

,

• b=5

Question 4

$y=x$

• The coefficient of x, m=1

,

• b=0