Question

Write an equation from the following points (plug in the numbers you would use for "m" and "b"):

Answer 1

Answer:

$y =\fracc{4}{3}x+5$

m=4/3 and b=5

Step-by-step explanation:

We want to find the equation of the line passing through (3,9) and (6,13).

We determine the slope using:

$m = \frac{y_2-y_1}{x_2-x_1}$

Let:

$(x_1=3,y_1=9), (x_2=6,y_2=13)$

We substitute the points to get:

$m = \frac{13 - 9}{6 - 3} = \frac{4}{3}$

We now use the formula:

$y-y_1=m(x-x_1)$

We substitute to get:

$y - 9 = \frac{4}{3} (x - 3)$

Multiply through by 3 to get;

$3y - 27 = 4(x - 3)$

We expand further to get:

$3y - 27 = 4x - 12$

This implies that:

$4x - 3y = - 15$

We solve for y to get:

$y =\fracc{4}{3}x+5$

Therefore m=4/3 and b=5