what is (-4,2) and(1,-5)

Question

need it to get the best answer because my teacher will not take it half way it needs to be full wrote out

Answer 1

A line that passes through the coordinates (-4,2) and (1,-5) can be written using the slope intercept form.

Slope-Intercept: y = mx + b

m = Slope

b = y-intercept

To start, first use rise-over-run to determine the slope of this line.

Rise-Over-Run: (y₂ - y₁) / (x₂ - x₁)

With the points (-4,2) and (1,-5),

x₁ = -4

y₁ = 2

x₂ = 1

y₂ = -5

Plugging these into our formula gives us:

(-5 - 2) / (1 - (-4) )

= (-7) / (5)

= -7/5

This means that our slope, m, is equal to -7/5

We plug this value into our slope-intercept form to get:

y = -7/5 x + b

To solve for our y-intercept, b, we need to plug a sample point into the equation that we have so far. So, let's use (-4,2) and put it into the equation.

x = -4

y = 2

m = -7/5

y = mx + b

2 = (-7/5)(-4) + b

2= (28/5) + b

2 - 28/5 = b

10/5 - 28/5 = b

-18/5 = b

So our equation is now:

y = (-7/5)x - 18/5

I hope this helps, and feel free to simplify the fractions into either decimals or improper fractions, whichever your teacher prefers.