1 more Linear Math Problem. (Find slope and y-intercept)

[nukeman]

Homework Statement

Find the slope m and y-intercept (0,b) of the line
2x + 4y =8

Homework Equations

I am still having troubles with finding the slope and y-intercept of a line.

Can you please solve this equation for me, but show me the steps, and break it down? It would really help. Include why you did that certain step.

The Attempt at a Solution

You guys are great. I really appreciate the great help!

 

[rock.freak667]

2x + 4y =8

the key is to make the coefficient of 'y' equal to 1.

So what number should you divide by to make the coefficient of 'y' equal to 1?

 

[nukeman]

2x + 4y =8

the key is to make the coefficient of 'y' equal to 1.

So what number should you divide by to make the coefficient of 'y' equal to 1?

Is it 4 ?

 

[rock.freak667]

Is it 4 ?

Right so divide by '4' and move the term in 'x' to the other side of the equation. What do you get?

 

[nukeman]

Right so divide by '4' and move the term in 'x' to the other side of the equation. What do you get?

can u clearify this for me?

 

[eumyang]

Right so divide by '4' and move the term in 'x' to the other side of the equation. What do you get?

can u clearify this for me?

Personally, I would move the term with the x on the other side before dividing both sides by 4.

To the OP: you really need to be familiar with the properties of equality. For instance, in the subtraction property of equality you can subtract something from both sides:
$$\begin{aligned}<br /> a + b &= c \\<br /> a + b - b &= c - b \\<br /> a &= c - b<br /> \end{aligned}$$

With the division property of equality, you can divide from both sides, as long as you're not dividing by zero:
$$\begin{aligned}<br /> ab &= c \\<br /> \frac{ab}{b} &= \frac{c}{b} \\<br /> a &= \frac{c}{b} \\<br /> \end{aligned}$$
(b ≠ 0)

Now use these properties to solve for y in your equation.69

 

[Duncannn]

First make your line into a known function of the form
l:y=ax + b

Finding the y-intersect set x to zero (b), finding the x-intersect set y to zero.
The slope is the rate at which your line changes vertically which is given by 'a'