Each line on a coordinate plane is unique, but it can be represented by many \"d

Question

Each line on a coordinate plane is unique, but it can be represented by many "difference". Each equation that represents a specific line has the same solution set Because these equations have same solution set, they The "different" equations, which are called forms, are the same equation Certain forms have specific uses For instance, when an equation is written in slope-, it is easy to determine the slope and the y-intercept of the line from the equation. The slope-intercept form for an equation can be found from the standard by solving Ax + By = C for the variable y, as long as B notequalto 0. Rewrite in slope-intercept form by solving the equation for y. The slope-intercept form of an equation can be found from the graph of a line. Use the graph to work through the following problems. a. Determine the ordered pair that represents the y-intercept of the line. b. Determine an ordered pair that represents a different point on the line. c. Calculate the slope using the points from parts a. and b. d. Use parts a. and c. to write the slope-intercept form of the equation. Remember, the is m and the y-coordinate of the y-intercept is b.

Explanation / Answer

Ordered pair of y intercept : ( 0,1)

Another ordered pair on line ( 1, 3)

slope = (3 -1)/(1-0) = 3

y = mx + c

y = 3x +c ; c= 1

y = 3x +1

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