Mathematics, 08.12.2019 23:31 BaileyElizabethRay

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus startfraction one-half endfraction equals 3 left-parenthesis x minus 2 right-parenthesis.? y + 2 =y plus 2 equals startfraction one-third endfraction left-parenthesis x plus 3 right-parenthesis.(x + 3) y – 2 = y minus 2 equals startfraction one-third endfraction left-parenthesis x minus 3 right-parenthesis.(x – 3) y + 3 = y plus 3 equals startfraction one-third endfraction left-parenthesis x plus 2 right-parenthesis.(x + 2) y – 3 = y plus startfraction one-half endfraction equals 2 left-parenthesis x minus 3 right-parenthesis.(x – 2)

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Answer from: Quest

step-by-step explanation:

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Answer from: Quest

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 = $\frac{-8+3}{4-7}$ = - $\frac{5}{3}$

y = - $\frac{5}{3}$ x + c ← is the partial equation

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

using (4, - 8 ), then

- 8 = - $\frac{20}{3}$ + c ⇒ c = - $\frac{4}{3}$

y = - $\frac{5}{3}$ x - $\frac{4}{3}$ ← 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

Answer from: Quest

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.

Answer from: Quest

explanation:

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Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of...

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