Question #bcad8

2 Answers
Jan 2, 2018

y=1/10x-13/5

Explanation:

First find the gradient by doing change in y/change in x such as...

m(gradient)= (-3-(-4))/(-4-(-14))
=1/10

equation is y=1/10x+b

to find b you will need to substitute one of the points to the equation and solve for b
such as...

(-4,-3)
(x,y)

=-3=1/10(-4)+b
=-3=-2/5+b
=-13/5=b

equation is y=1/10x-13/5

you can also use y-y1=m(x-x1)(point-slope formula).

Jan 2, 2018

y = \frac{1}{10}x-\frac{13}{5}

Explanation:

Given two points (x_1, y_1) and (x_2, y_2) you have to use this formula here:
\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}

Let's substitute:
\frac{y-(-4)}{-3-(-4)}=\frac{x-(-14)}{-4-(-14)}

\frac{y+4}{-3+4}=\frac{x+14}{-4+14}

\frac{y+4}{1}=\frac{x+14}{10}

y+4=\frac{x+14}{10}

10(y+4)=x+14

10y+40=x+14

10y=x+14-40

10y=x-26

y=\frac{1}{10}x-\frac{26}{10}

The final result:
y=\frac{1}{10}x-\frac{13}{5}