Answer:
The equation is;
4y = 7x + 2
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
m = (y2-y1)/(x2-x1)
(x1,y1) = (2,3)
(x2,y2) = (-2,-4)
m = (-4-3)/(-2-2) = -7/-4 = 7/4
So we have the equation as;
y = 7x/4 + b
To
get the value of b, we will substitute any of the points (let us use 2,3)
We simply substitute 2 for x and 3 for y
We have this as:
3= 7(2)/4 + b
3 = 7/2 + b
b = 3-7/2 = -1/2
So we have the equation as;
y = 7x/4 + 1/2
multiply through by 4
4y = 7x + 2
