Question

Which graph matches the equation y+3=2(x+3)?

Answer 1

The graph that matches the equation y+3=2(x+3) is shown in the diagram.

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {m = \frac{y_2 - y_1}{x_2 - x_1}$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$y - y_1 = m ( x - x_1 )$

Let us tackle the problem.

Given:

$y + 3 = 2(x + 3)$

$y + 3 = 2x + 2(3)$

$y + 3 = 2x + 6$

$y = 2x + 6 - 3$

$y = 2x + 3$

To illustrate this straight line graph, we just need to find 2 random points that are passed by the line.

If x = 0 , then :

$y = 2x + 3$

$y = 2(0) + 3$

$y = 0 + 3$

$y = 3$

If x = 1 , then :

$y = 2x + 3$

$y = 2(1) + 3$

$y = 2 + 3$

$y = 5$

From the results above, we can conclude that the line past through point (0,3) and point (1,5). Next we can draw this straight line graph by connecting these 2 points as shown in the diagram.

Learn more

• Infinite Number of Solutions : brainly.com/question/5450548
• System of Equations : brainly.com/question/1995493
• System of Linear equations : brainly.com/question/3291576

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

Answer 2

Answer:

a line passing through (-3, -3) with slope 2

Step-by-step explanation:

Compare the given

y+3=2(x+3) to the general form

y - k = 2(x + 3).

We know that the given line passes through the point (h, k), which here is (-3, -3), and that the slope of this line is 2.

Find the graph that shows a line passing through (-3, -3) with slope 2.

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