What is the x-intercept of the line containing the points (–6, 10) and (12, –2)? 4 5 6 9

bearing in mind that to get the x-intercept of any expression, we can simply set y = 0, and then solve for "x".

so let's check the slope of that line thus we can use its equation and set y = 0 then.

x- intercept = 9

Step-by-step explanation:

Find the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, 10) and (x₂, y₂ ) = (12, - 2)

m = = = -

y = - x + c ← is the partial equation of the line

To find c substitute either of the 2 points into the partial equation

Using (12, - 2), then

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = - x + 6 ← equation of line

To find the x- intercept let y = 0, that is

- x + 6 = 0

Multiply through by 3

- 2x + 18 = 0 ( subtract 18 from both sides )

- 2x = - 18 ( divide both sides by - 2 )

x = 9 ← y- intercept

5.25 ounces

step-by-step explanation:

divided 3/4 and 6

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752