Question

A straight line has the same gradient as y = 4x + 7 and it passes through the point (0,15). What is the equation of this straight line?

Answer 1

y = 4x + 15

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 7 ← is in slope- intercept form

with slope m = 4

Equation of straight line with same gradient is

y = 4x + c

the line passes through the y- axis at (0, 15 ) ⇒ c = 15

y = 4x + 15 ← equation of line

Answer 2

y = 4x + 15

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 7 ← is in slope- intercept form

with slope m = 4

Equation of straight line with same gradient is

y = 4x + c

the line passes through the y- axis at (0, 15 ) ⇒ c = 15

y = 4x + 15 ← equation of line