Question

5. How many different equations can you write for the graph? y-yı = m(x – X1) 11

Answer 1

Each line has one equation

$y-y1=m(x-x1)$

m is the slope of the line

(x1, x2) is a point on the line

We can find m by using this rule

$m=\frac{y2-y1}{x2-x1}$

From the graph the line passes through points (0, 4) and (3, 6)

(x1, y1) = (0, 4)

(x2, y2) = (3, 6)

Substitute them in the rule above to find m

$m=\frac{6-4}{3-0}=\frac{2}{3}$

Now let us put it in the form of the equation above

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