Precalculus Examples

$m = 5$ , $(1, 1)$

Step 1

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

Tap for more steps...

Step 1.1

Use the formula for the equation of a line to find $b$ .

$y = m x + b$

Step 1.2

Substitute the value of $m$ into the equation.

$y = (5) \cdot x + b$

Step 1.3

Substitute the value of $x$ into the equation.

$y = (5) \cdot (1) + b$

Step 1.4

Substitute the value of $y$ into the equation.

$1 = (5) \cdot (1) + b$

Step 1.5

Find the value of $b$ .

Tap for more steps...

Step 1.5.1

Rewrite the equation as $(5) \cdot (1) + b = 1$ .

$(5) \cdot (1) + b = 1$

Step 1.5.2

Multiply $5$ by $1$ .

$5 + b = 1$

Step 1.5.3

Move all terms not containing $b$ to the right side of the equation.

Tap for more steps...

Step 1.5.3.1

Subtract $5$ from both sides of the equation.

$b = 1 - 5$

Step 1.5.3.2

Subtract $5$ from $1$ .

$b = - 4$

Step 2

Now that the values of $m$ (slope) and $b$ (y-intercept) are known, substitute them into $y = m x + b$ to find the equation of the line.

$y = 5 x - 4$

Step 3

Enter YOUR Problem