What is the slope-intercept equation of this line?

a y=-2x+8

Step-by-step explanation:

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =

ΔY

ΔX

=

-2

1

=-2

θ =

arctan(ΔY) + 360°

ΔX

=296.56505117708°

ΔX = 6 – 0 = 6

ΔY = -4 – 8 = -12

Distance (d) = √ΔX2 + ΔY2 = √180 = 13.416407864999

Equation of the line:

y = -2x + 8

When x=0, y = 8

When y=0, x = 4

1

step-by-step explanation:

you are throwing one dart

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b