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Answer:
Step-by-step explanation:
y = 5x + 2
Slope- intercept form: y = mx + b
Parallel lines have same slope.
m = 5
y = 5x + b
Now, line passes through (-2,1). So, plugin these values in the above equation.
1 = 5*(-2) + b
1 = - 10 + b
b = 1 + 10
b = 11
Equation of the line:
y = 5x + 11
Answer:
y = 5x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 2 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes , so
y = 5x + c ← is the partial equation
to find c substitute (- 2, 1 ) into the partial equation
1 = - 10 + c ⇒ c = 1 + 10 = 11
y = 5x + 11 ← equation of parallel line