The equation of a line passing through the origin will be of the form y = mx, where m is the slope of the line.
Therefore, the equation of the line through the origin is:
G. y = 3x
H. y = 6x
8. Derive the equation of the line through
the origin.
G. y = 3x
H.y = 6x
I. x + y = 3
5 answers
8. Derive the equation of the line through
the origin.
Point 1: (1,3)
Point 2:(2,6)
G. y = 3x
H.y = 6x
I. x + y = 3
the origin.
Point 1: (1,3)
Point 2:(2,6)
G. y = 3x
H.y = 6x
I. x + y = 3
To find the equation of a line passing through the origin, you can use the slope formula:
slope (m) = (y2 - y1) / (x2 - x1)
where (x1, y1) = (1, 3) and (x2, y2) = (2, 6) in this case.
Calculating the slope:
m = (6 - 3) / (2 - 1)
m = 3 / 1
m = 3
Now that we have the slope, we know the equation of the line will be y = 3x, which corresponds to option G.
Therefore, the correct answer is G. y = 3x.
slope (m) = (y2 - y1) / (x2 - x1)
where (x1, y1) = (1, 3) and (x2, y2) = (2, 6) in this case.
Calculating the slope:
m = (6 - 3) / (2 - 1)
m = 3 / 1
m = 3
Now that we have the slope, we know the equation of the line will be y = 3x, which corresponds to option G.
Therefore, the correct answer is G. y = 3x.
9. Graph the linear equation. y= 1/3x -1
R. m =1/2 and b = -1
S. m = 1/3 and b = -1
T. m = 1/3 and b = 1
R. m =1/2 and b = -1
S. m = 1/3 and b = -1
T. m = 1/3 and b = 1
To graph the linear equation y = (1/3)x - 1, we first recognize that the equation is in slope-intercept form, where m is the slope and b is the y-intercept.
Comparing the equation y = (1/3)x - 1 with the general form y = mx + b, we find:
m = 1/3 (slope)
b = -1 (y-intercept)
Therefore, the correct answer is option S. m = 1/3 and b = -1.
Comparing the equation y = (1/3)x - 1 with the general form y = mx + b, we find:
m = 1/3 (slope)
b = -1 (y-intercept)
Therefore, the correct answer is option S. m = 1/3 and b = -1.