Question

PROBLEM Write the equation of the line that passes through (0, -6) and (4, 10).

Answer 1

Answer:

y= 4x-6

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

Let's find the gradient, m, first.

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

Using the above formula,

$m = \frac{10 - ( - 6)}{4 - 0} \\ m = \frac{10 + 6}{4} \\ m = \frac{16}{4} \\ m = 4$

Subst. the value of m into the equation.

y=4x+c

To find c, substitute a coordinate into the equation.

When x=0, y= -6,

-6= 4(0) +c

c= -6

Thus, the equation of the line is y= 4x -6.