# How do you write an equation for a line with m=3.5 and f(-2)=1?

$f \left(- 2\right) = 1$ means that a point exists at $\left(- 2 , 1\right)$. Using our formula for the slope-intercept form of a line, $y = m x + b$, we can just plug in values and find the equation:
$1 = 3.5 \left(- 2\right) + b$
$1 = - 7 + b$
$8 = b$
$y = 3.5 x + 8$ or $y = \frac{7}{2} x + 8$