Question

A) Work out the gradient of the line y=5x-3 (1)

Gradient = (Answer here)

b) Work out the gradient of the line 3y-12x+7=0 (1)

Gradient = (Answer here)

Answer 1

5 and 4

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

(a)

y = 5x - 3 ← is in slope- intercept form

with gradient m = 5

(b)

3y - 12x + 7 = 0 ( add 12x to both sides )

3y + 7 = 12x ( subtract 7 from both sides )

3y = 12x - 7 ( divide through by 3 )

y = 4x -
`(7)/(3)` ← in slope- intercept form

with gradient m = 4