A line has a slope of -2 and a y-intercept of –3. Graph the line using the slope and y-intercept. Which of the following points lie on this same line? Check all that apply.
(–2, 0)
(–1.5, 0)
(–6, 9)
(2, –3)
(3, –9)
(–4, 4)

Answer & Step-by-step explanation:

First write the line equation.

y=mx+b is the format where m=slope, b= y intercept

y=-2x-3

plug each x in to see if they match the point

y= -2(-2) -3 = -4 - 3 = -7 ; the point is (-2,0) so NO

y= -2(-1.5) -3= 3-3 = 0; point is (-1.5, 0) so YES it matches

y= -2(-6) -3 = 12-3 = 0; point matches so YES

y= -2(2) -3 = -4-3 = -7; point is (2, -3) so NO

y = -2(3) -3 = -6-3= -9; point matches so YES

y= -2(-4)-3 = 8-3 = 5; point is (-4, 4) so NO

(-1.5, 0) & (-6, 9) & (3, -9)

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180

step-by-step explanation:

12-2=10

20-2=18

18x10=180

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .