Write the slope intercept equation of a line which is parallel to y=3x+5 passing through (-6,3). Can anyone please explain with the formula?
Answers
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
If lines are parallel then they have the same slope (m)
This means that the slope of the line will be 3:
y = 3x + b
Now we must find b
To do that you must plug in the point the line goes through in the x and y of the equation.
(-6, 3)
3 = 3(-6) + b
3 = -18 + b
21 = b
y = 3x + 21
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
y = 3x + 21
Step-by-step explanation:
The formula of a line goes in y= mx + c
Parallel lines have different y-intercepts but the same gradients so we can assume that
y = 3x + c
Substitute in the coordinates (-6 , 3) to work out the full equation
3 = -18 + c
So c = 21
Therefore the equation of the line that is parallel to y=3x+5 passing through (-6,3) is y = 3x + 21
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