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Algebra Examples

- 3

$- 3$ ,

(1, 3)

$(1, 3)$

Step 1

Find the value of

b

$b$ using the formula for the equation of a line.

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Step 1.1

Use the formula for the equation of a line to find

b

$b$ .

y = m x + b

$y = m x + b$

Step 1.2

Substitute the value of

m

$m$ into the equation.

y = (- 3) \cdot x + b

$y = (- 3) \cdot x + b$

Step 1.3

Substitute the value of

x

$x$ into the equation.

y = (- 3) \cdot (1) + b

$y = (- 3) \cdot (1) + b$

Step 1.4

Substitute the value of

y

$y$ into the equation.

3 = (- 3) \cdot (1) + b

$3 = (- 3) \cdot (1) + b$

Step 1.5

Find the value of

b

$b$ .

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Step 1.5.1

Rewrite the equation as

(- 3) \cdot (1) + b = 3

$(- 3) \cdot (1) + b = 3$ .

(- 3) \cdot (1) + b = 3

$(- 3) \cdot (1) + b = 3$

Step 1.5.2

Multiply

- 3

$- 3$ by

1

$1$ .

- 3 + b = 3

$- 3 + b = 3$

Step 1.5.3

Move all terms not containing

b

$b$ to the right side of the equation.

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Step 1.5.3.1

Add

3

$3$ to both sides of the equation.

b = 3 + 3

$b = 3 + 3$

Step 1.5.3.2

Add

3

$3$ and

3

$3$ .

b = 6

$b = 6$

b = 6

$b = 6$

b = 6

$b = 6$

b = 6

$b = 6$

Step 2

Now that the values of

m

$m$ (slope) and

b

$b$ (y-intercept) are known, substitute them into

y = m x + b

$y = m x + b$ to find the equation of the line.

y = - 3 x + 6

$y = - 3 x + 6$

Step 3

Enter YOUR Problem

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$