Vertical and horizontal lines
Slope
y-intercept
Slope-intercept form
General form
100
The slope of all horizontal lines
0
100
The slope of the line
y=11x+2
11
100
The y-intercept of the line
y=mx+c
y=c
100
The equation of a straight line in gradient-intercept form
y=mx+c
100
The equation of a straight line in general form
ax+by=d
200
The slope of the line
x=5
undefined
200
The gradient of the line
y = (-5x-9)/7
-5/7
200
The y-intercept of the line through
(2,-3) and (0,14)
y=14
200
The equation of the straight line with gradient 4 and y-intercept 7 in gradient-intercept form
y=4x+7
200
Convert to general form:
y=4x+11
4x-y=-11
300
The equation of the line through
(-5, 6) and (-5,10)
x=-5
300
The gradient of a line perpendicular to
y = 4x - 6
-1/4
300
The y-intercept of the line
y=(35-9x)/5
y=7
300
The equation of this line in gradient-intercept form
y=-2x-4
300
The equation of this line in general form:
y=3/5 x-1/10
6x-10y=1
400
The equation of the horizontal line 4 units above the x-axis
y=4
400
The gradient of the line through the points
(6, -2) and (-9,8)
-2/3
400
The y-intercept of the line
5x-2y=10
y=-5
400
Convert to gradient-intercept form:
2y-5x+7=0
y=5/2 x-7/2
400
The equation of this line in general form:
5x+7y=-15
500
The equation of the line with an undefined gradient and through (2,3)
x=2
500
The gradient of the line
2x+5y=3
-2/5
500
The y-intercept of the line through
(2,9)
and with a gradient of
3/2
y=6
500
Find the value of a if (a,3) lies on the line
y=6x-12
a=15/6
500
Find the value of k if (2,k) lies on the line
6x+7y=31/2
k=1/2