Question

Find the equation for (0,4)and (7,-10 )

Answer 1

2x + y = 7

Step-by-step explanation:

suppose (x1,y1)=(0,4) ; (x2,y2)=(7,-10)

the formula is,

(x - x1) / (y-y1) = (x1-x2) / (y1-y2)

=>x-0 / y-4 =0-7 / 4-(-10)

=>x / y-4 = -7 / 14

=>x / y-4 = - 1 / 2

=>2x = -y + 4

=>2x + y = 4

Answer 2

y = -2x + 4

Explanation:

First find slope:

`(y_2-y_1)/(x_2-x_1)=(-10-4)/(7-0)= (-14)/(7)=-2`
`(y_2-y_1)/(x_2-x_1)=(-10-4)/(7-0)= (-14)/(7)=-2`

We know equation of a line is y = mx + b, where m = slope and b = y-intercept, so we can plug in the slope:

y = -2x + b

The y-intercept of the equation is 4 because the coordinate (0, 4) is given. Therefore, the equation is:

y = -2x + 4