I am stuck help please

Question

What is an equation of the line that passes through the points (0,−3)(0,−3) and (−5,3)(−5,3)? Put your answer in fully reduced form.

Answer 1

Hi,

The first step is to find the slope, m, using the two points we were given:

m=rise/run

m=(3-(-3)_/(-5-0)=-6/5

Next, we can use the point-slope formula and plug in the point (0,-3)

Point-slope formula: y-y1=m(x-x1)

y-(-3)=-6/5*(x-0)

y+3=-(6/5)x

y= -(6/5)x-3

You can verify the validity of the this equation by plugging in the other point, (-5,3)

3=-(6/5)*(-5)-3

3=6-3

3=3

Hope this helps.

Answer 2

slope = (3--3)/(-5-0) = -6/5

slope intercept form of equation of line is y = mx + b, where m is slope and b is y intercept.

since one of the points is (0,-3), the y intercept is -3

so y = -6/5 x - 3