Question

What is the equation in slope-intercept form, of the line parallel to y=5x+2 that passes through the point with coordinates (-2,1)

Answer 1

y = 5x + 11

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

Answer 2

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