Question

write an equation of the line that passes through (-1, 3) and is parallel to the line y = 2x + 2. y = \square

Explanation:

Step1: Identify parallel line slope

Parallel lines have equal slopes. For $y=2x+2$, slope $m=2$.

Step2: Use point-slope form

Point-slope formula: $y-y_1=m(x-x_1)$. Substitute $m=2$, $x_1=-1$, $y_1=3$:
$y-3=2(x-(-1))$

Step3: Simplify to slope-intercept form

Simplify the equation:
$y-3=2(x+1)$
$y-3=2x+2$
$y=2x+2+3$
$y=2x+5$

Answer:

$y=2x+5$