Answer:
y = 2x + 11
Step-by-step explanation:
Slope-intercept form is written y = mx + b
"x" and "y" are points on the line.
"m" is the slope.
"b" is the y-intercept.
Parallel lines have the same slope.
A line parallel to y = 5x + 2 will have the slope 2. m = 2
To find "b", substitute the point (-6, -1) and m = 2 into slope-intercept form. Points are written (x, y), so x = -6 , y = -1
y = mx + b
-1 = (2)(-6) + b Multiply 2 and -6
-1 = -12 + b Isolate "b" by separating it from everything else
-1 + 12 = -12 + 12 + b Add 12 to both sides
11 = b Answer for b, the y-intercept
b = 11 Write variables on left side
Use the slope and y-intercept in slope-intercept form to write the equation.
y = 2x + 11
