Question

HELP ITS ABOUT POINTS AND EQUATIONS AND WHAT THE PERSON FAILED IN DOING EXPLANATION NEEDED PLEASE

Answer 1

see below

Explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

= (-5- -7.5)/ ( 2 - -3)

= (-5+7.5) / ( 2+3)

= 2.5 /5

=1/2

Then using the slope intercept equation of a line

y = mx+b where m is the slope and b is the y intercept

y = 1/2x+b

Using a point from above

-5 = 1/2(2) +b

-5 =1+b

Subtract 1 from each side

-6 = b

We have the y intercept

y = 1/2x-6

Tahlia forget to find the y intercept for the equation

Answer 2

y = 0.5x - 6

Explanation:

(-3. -7.5) ; (2 , -5)

`Slope=(y_(2)-y_(1))/(x_(2)-x_(1))\\\\=(-5-[-7.5])/(2-[-3])\\\\=(-5+7.5)/(2+3)\\\\=(2.5)/(5)\\\\=0.5`

m = 0.5 ; (2, -5)

equation of line : y-y1 = m(x-x1}

y -[-5]=0.5(x - 2)

y + 5 = 0.5x - 0.5*2

y + 5 = 0.5x - 1

y = 0.5x - 1 -5

y = 0.5x - 6