Which of the following equations repResents a line that passes through (-8, 1) with a slope of -2/5
Answers
➛ The points on the line are (2,1) and (5,-8)
To Find :-
➛ Slope of the line
➛ Equation in slope intercept form ⠀⠀represents the line passes through the ⠀⠀points (2, 1) and (5, -8)
Solution :-
➙ To Write an equation in slope intercept form we always need a points and a slope, Here isn't given a slope but two points are given So, we can find slope from those points
➯ Let the first point (2, 1) be ( x1 , y1 )
➯ And, the second point (5, -8) be ( x2 , y2 )
As we know that,
⠀⠀⠀
where,
m = Slope of a line
x2 and y2 = ( 5, -8 )
x1 and y1 = ( 2, 1 )
By substituting values we get,
∴ Slope of a line is -3
______________________
➙ Now, we will use point-slope formula to find an equation of the line using slope and first point ( you can also use 2nd point instead if you prefer)
Point-Slope formula :
⠀⠀⠀
Where,
x1 and y1 = (2, 1)
m = Slope of a line ( -3 )
By substituting values according to the formula we get,