Question

Write an equation of the line that passes through (-4,3) and (0,6). An equation is y =

Answer 1

Answer:

y= ¾x +6

Step-by-step explanation:

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

Let's find the gradient first.

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

Using the formula above,

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

subst. the value of m into the equation.

$y = \frac{3}{4} x + c$

To find c, substitute a coordinate.

When x=0, y=6,

$6 = \frac{3}{4} (0) + c \\ 6 = 0 + c \\ c = 6$

Thus, the equation of the line is $y = \frac{3}{4} x + 6$.