2(3x+5)=9x+9-3x+1
(2)(3x)+(2)(5)=9x+9-3x+1
6x+10=9x+9-3x+1
6x+10=(9x-3x)+(9+1)
6x+10=6x+10
6x-6x+10=6x-6x+10
10=10
10-10=10-10
0=0
All real numbers are solutions.

3 0

3 years ago

What is the equation in slope-intercept form of the line that passes through the points (0, −4) and (2, 0)?

Nastasia [14]

Answer:

$y = 2x -4$

Step-by-step explanation:

Slope intercept form is $y = mx + b$ where <em>m </em>is the slope and <em>b </em>is the y-intercept.

Slope is $\frac{rise}{run}$ or $\frac{y_2 - y_1}{x_2-x_1}$ in this case = $\frac{0 - (-4)}{2 - 0} = \frac{4}{2} = 2$

Substitute one of the coordinates for x and y. I am going to use (0, -4) so:

$-4 = 2(0) + b\\-4 = 0 + b\\-4 = b$

since m = 2 and b = -4, we can conclude that the equation would be

$y = 2x -4$

5 0

2 years ago

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