Gradient
Gradient is another term for
What is Slope
y=4+2x
2
A line has gradient m=−3 and has y-intercept y=5. Find the equation of the line in the form y=mx+c.
y=-3x+5
A straight line has equation y=4x−3. Rearrange this equation into the form ax+by+d=0.
-4x+y+3=0
A straight line L1 has gradient m=2/7. A second line L2 is perpendicular to L1. Find the gradient of L2.
-7/2
Find the point of intersection of the lines y=3x−2 and y=5x−16.
(7,19)
A line segment joins two points. The coordinates of point A are (5,2) and coordinates of point B are (20,8). Calculate the gradient of the line segment.
What is
2/5
Is (3,13) a point on the line y=5x-2
Yes
A line goes through points A and B. The coordinates of these points are (−2,−5) and (1,13),respectively. Find the equation of the line in the form y=mx+c.
y=6x+7
A straight line has equation y=2/3x−7. Rearrange this equation into the form ax+by+d=0
-2x+3y+21=0
A straight line L1 has gradient m=-3. A second line L2 is parallel to L1. Find the gradient of L2.
m=-3
A line has equation 3x−2y+5=0. A second line has equation y=4x−5. Determine whether or not these lines intersect, and if they do, find the point of intersection.
These lines intersect at (3,7)
The points A and B have coordinates (−4,60) and (21,10), respectively. Use the formula to find the gradient of the line that goes through points A and B.
What is -2
Find the gradient and y-intercept of the line y=7
m=0
y=7
A line has gradient m=12 and goes through the point (4,8). Find the equation of the line in the form y=mx+c.
y=1/2x+6
A straight line has equation 15x−3y+4=0.
Find
y-intercept: (0,4/3)
x-intercept: (-4/15,0)
Gradient: m=5
The line PQ joins the points P(5,2) and Q(9,12). What is the equation of a line perpendicular to PQ which also passes through point P?
y=-2/5x + 4
Line L1 has gradient 2 and is perpendicular to line L2. Line L2 passes through the point P(2,1). Find the x-coordinate of the point where L2 meets the x-axis.
(4,0)
The points P and Q have coordinates (−2,9) and ,(4,−9), respectively. Calculate the gradient of the line that goes through points P and Q.
m=-3
A straight line has equation y=15−3x. What is the x-intercept of this line?
(5, 0)
What is the equation of the straight line which passes through the points A(3,2) and B(8,12)?
y=2x-4
A straight line has gradient m=−56 and goes through the point (1,4). Find the equation of the line in the form ax+by+d=0.
5x+6y-29=0
The points A(1,8) and B(5,6) lie on a line. The line 6x+by+5=0 is perpendicular to this line. What is the value of b?
b=-3
What is the intersection of the line 3x−2y+6=0 with the line y=x+1?
(-4,-3)
Points A and B have coordinates (2,5) and (4,15), respectively. Does the following expression represent the gradient:
(4-2)/(15-5)
No
Find the x and y intercept of 2y+6x−12=0
x-intercept: (2,0)
Y-intercept:(0,6)
What is the equation of the straight line which passes through the points A(2,1) and B(5,10)
y=3x-5
A straight line has equation 3x−4y+5=0. What is the gradient of this line?
3/4
Two points A(2,8) and B(10,4) lie on line L1. What is the equation of the line L2 which is perpendicular to L1 and passes through the midpoint of [AB]?
y=2x-6
The lines L1 and L2 have equations y=2x+13 and y=−x+1, respectively. What is the point of intersection of these two lines.
(-4,5)