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ion 3 pe of the letter A in the advertisement board of a restaurant alon Iratic function y=-x²+6x-5, and y are in metres. Point B is the highest point of the letter and ght h, of the letter A, roun

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Final answer:

The question pertains to algebra and the properties of straight lines on a graph, where a line with a y-intercept of 9 and a slope of 3 is represented by the equation y = 9 + 3x.

Step-by-step explanation:

The question provided delves into the subject of Mathematics, specifically focusing on algebra and the geometry of straight lines.

The line graph described with y-intercept of 9 and slope of 3 is represented by the linear equation y = 9 + 3x. Here, 9 is the y-intercept (b), indicating where the line crosses the y-axis, and 3 is the slope (m), representing the rise over run—meaning for every 1 unit increase in the x-value, the y-value increases by 3 units. To plot this line, you can create a table of values by substituting various x values into the equation and then solving for y. These points are then plotted on a Cartesian plane, and a line is drawn through them to visualize the linear relationship.

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