Question

Guys, determine the equation of each line, given the information below:

Passing through the points D(2, 3) and E(-2, -4)

Answer 1

The equation is;

4y = 7x + 2

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