Use the diagram shown. There are two lines which intersect each other and making angles 1 and 2. The opposite angles to 1 is 3, and 2 is 4. Which statements are true? Select all that apply. A. m∠2 + m∠3 = 180° B. m∠3 + m∠4 = 180° C. m∠2 + m∠3 = m∠3 + m∠4 D. m∠1 + m∠3 = m∠2 + m∠4

f(x) = y

f(-3) = -5

step-by-step explanation:

a .4y4

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5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

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

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form