Find the Equation with a Point and Slope What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?

What is the equation of the line that passes through the point $(1, 0)$ and has a slope of $1$ ?

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.

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

Substitute the value of $x$ into the equation.

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

Substitute the value of $y$ into the equation.

$0 = (1) \cdot (1) + b$

Find the value of $b$ .

Rewrite the equation as $(1) \cdot (1) + b = 0$ .

$(1) \cdot (1) + b = 0$

Multiply $1$ by $1$ .

$1 + b = 0$

Subtract $1$ from both sides of the equation.

$b = - 1$

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.

$y = x - 1$