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

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

Answer:

To find the match of the graph to the given equation, it is necessary to transform the equation given into the slope-intercept form first.

First, we distribute the 2 on the right side of the equation:

y + 3 = 2 x + 6

Then, we subtract 3 from both sides to isolate y:

y = 2x + 4

It is now in the slope-intercept form drawn as y =mx + b with m as the slope and b as the y-intercept. Therefore, for the expression, ax +b, the coefficient of x is 2 and measures the same value as the y-intercept value of 3.

Overlaying this equation in a graph, the first thing to note would be that it passes through the y-axis at a point = 3. Then, as the slope is 2, we would proceed further to construct more points shifting one unit right and two units up. This process would give a straight line passing through the point (0, 3) meeting the y-axis at this point and having a positive slope of 2.

The graph matching this equation would have the following coordinates:

The following linear equation can describe this given graph, y = 2x + 3, and is a line that passes through the origin and rises upwards. Points can define the line, Example points are P(0,3), Q(1,5), and R(2,7).

To confirm if a given graph matches this equation, we would look for these key features: This page intersects the y-axis at (0,3 or 3,0) and has a slope of 2 or -2. The correct graph would be; it is a straight line that goes through the point (0, 3) each time it increments 1 unit horizontally it increments 2 units vertically (Myassignmenthelp.com, 2024).