Miscellaneous
Gradient
y-intercept
Calculating Gradient
Equation of a line
100

Simplify:

2x + 3x - 5x

0

100

State the gradient of:

y = 4x - 6

m = 4

100

State the y-intercept of:

y = -3x + 4

c = 4

100

The gradient between the points (1, 5) and (3, 9)

m = 2

100

The equation of a line with:

gradient = 5

y-intercept = -3

y = 5x - 3

200

The general equation of a straight Line

y = mx + c

200

State the gradient of:

4y = 12x + 6

m = 3

200

State the y-intercept of:

y - 3 = 4x

c = 3

200

The gradient between the points:

(-8, -6) and (-3, -21)

m = -3

200

The equation of a line with:

gradient = -2

y-intercept = 4

y=-2x+4

300

The general equation of a vertical line

x = c

300

State the gradient:

2y - 10x = 3

m = 5

300

State the y-intercept:

7 + 4y - 3x = 0

c = -7

300

The gradient of a line parallel to:

y + 3x = 2

m = -0.5 (or 1/2)

300

The equation of a horizontal with through the point (1,5)

y=5

400

Wan measured the height of her toddler each month.

Which is the independant variable: height or months?

months

400

State the gradient:

7x - 4y + 3 = 0

m = 7/4

400

4x - 6y = 21

c = -3.5 (or -7/2)

400

The gradient of the line parallel to the x-axis

m = 0

400

Equation of line parallel to:

y = 4x + 1

with y-intercept 5

y = 4x + 5

500

Mrs Barlow's favourite number

48

500

State the gradient:

4/3 x + 2/5 y = 8

m = -10/3

500

0.5 - 2y = 8x 

c = 0.25

500

The gradient between the points:

(8, -16) and (-2, 12)

m = -2.8 (or 14/5)

500

The equation of the line 3 times steeper than:

y=2x+1

with y-intercept at c=0

y=6x

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