Find the Equation Using Slope-Intercept Form What is the equation of the line that passes through the point (5,-7) and has a slope of o ?

What is the equation of the line that passes through the point $(5, - 7)$ and has a slope of $o$ ?

Step 1

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

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

$y = m x + b$

Substitute the value of $m$ into the equation.

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

Substitute the value of $x$ into the equation.

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

Substitute the value of $y$ into the equation.

$- 7 = (o) \cdot (5) + b$

Find the value of $b$ .

Rewrite the equation as $o \cdot (5) + b = - 7$ .

$o \cdot (5) + b = - 7$

Move $5$ to the left of $o$ .

$5 o + b = - 7$

Subtract $5 o$ from both sides of the equation.

$b = - 7 - 5 o$

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.

$y = o x - 7 - 5 o$

Step 3