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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?

2 Answers

8 votes

Answer:

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

User SashikaXP
by
4.1k points
1 vote

Answer:

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

User Shota
by
4.3k points