-16
y- intercept = -21
y- intercept; x = 0
y = 5x - 21
y = 5(0) - 21
y = 0 -21
y = -21
21
Points: (14, 6) (21, 9) (7, 3) Slope of the line: 3/7 Equation of the line: 7y = 3x and it has no y intercept
The gradient m between two points (x0, y0) and (x1, y1) is given by m = change_in_y/change_in_x = (y1 - y0)/(x1 - x0) Equation of a line through a point (x0, y0) with gradient m is given by: y - y0 = m(x - x0) Thus for the points (16, -5) and (-40, 16): m = (16 - -5) / (-40 - 16) = 21/-56 = -3/8 y - -5 = -3/8(x - 16) → 8y + 40 = -3x +48 → 8y + 3x = 8
9
If you mean a point of: (2,1) then the equation works out as y = 3x-5
The slope of the line is (diff in y-coord)/(diff in x-coord) = (7-3)/(1+2) = 4/3 So the equation of the line is of the form y = 4/3*x + c where c is a constant to be determined Equivalently, 3y = 4x + c' where c' is (another) constant to be determined. The point (1,7) is on this line so 3*7 = 4*1 + c' ie c' = 21-4 = 17 So the equation of the line is 3y = 4x + 17
-16
21
The y-intercept of that line is the point (0, 21).
The wrong information has been given to form a straight line equation but in general a straight line equation is in the form of y = mx+c whereas m is the slope and c is the y intercept
Gradient of given line is 2.1/5 = 21/50 So gradient (slope) of perpendicular is -50/21 = -2.381 (to 3 dp)
what is the equation of the regression line for the given data(Age, Number of Accidents) (16, 6605), (17, 8932), (18, 8506), (19, 7349), (20, 6458), (21, 5974)
Points: (14, 6) (21, 9) (7, 3) Slope of the line: 3/7 Equation of the line: 7y = 3x and it has no y intercept
The general equation of the line is y = 3x + c. Having only one coordinate (21) of a point on this line is not enough to evaluate c.
Without an equality sign the given expression can't be considered to be a straight line equation and so finding the x and y intercepts are impossible.
It is a linear equation in two dimensional space. Such an equation defines a line in 2-d
If you mean: y=3x-4 and the point (2, 1) then the perpendicular equation is 3y=-x+5
Points: (7, 3) (14, 6) (21, 9) Slope: 3/7 Equation: 7y=3x