Question

(3,10) and (6,13)Put in slope-intercept form

Answer 1

ANSWER

y = x + 7

EXPLANATION

We want to use the two points to form a linear equation in slope-intercept form.

That is in the form:

y = mx + c

To do this, we first find the slope by using formula:

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

where (x1, y1) = (3, 10)

(x2, y2) = (6, 13)

So, we have that:

$\begin{gathered} m\text{ = }\frac{13\text{ - 10}}{6\text{ - 3}} \\ m\text{ = }\frac{3}{3} \\ m\text{ = 1} \end{gathered}$

The slope, m, is 1.

Now, we use the point-slope formula to find the equation. That is:

$\begin{gathered} y-y_1=m(x-x_1) \\ \Rightarrow\text{ y - 10 = 1(x - 3)} \\ y\text{ - 10 = x - 3} \\ =>\text{ y = x - 3 + 10} \\ y\text{ = x + 7} \end{gathered}$

That is the answer.