Question

Year 8 maths Finding the rule using a table of values

Answer 1

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)

m = $\frac{b-a}{1-0}$ = b - a

y = (b - a)x + c

(a)

with coefficient of x being b - a

(b)

The line crosses the y- axis at (0, a ) ⇒ c = a

y = (b - a)x + a