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.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Using the formula above,
[tex]m = \frac{6 - 3}{0 - ( - 4)} \\ m = \frac{3}{4} [/tex]
subst. the value of m into the equation.
[tex]y = \frac{3}{4} x + c[/tex]
To find c, substitute a coordinate.
When x=0, y=6,
[tex]6 = \frac{3}{4} (0) + c \\ 6 = 0 + c \\ c = 6[/tex]
Thus, the equation of the line is [tex]y = \frac{3}{4} x + 6[/tex].
