Question

State your first and last name. Use the letters in your first name and last name to write an equation of a line in slope-intercept form, y=mx + b as follows:
1. Let x = the number of letters in your first name. Write down the coordinates of the x-intercept using this value for x (If your first name is hyphenated, you may use only the first or last part).


2. Let y = the number of letters in your last name. Write down the coordinates of the y-intercept using this value of y (If your last name is hyphenated, you may use only the first or last part).


3. Find the slope of your line using the x and y intercepts from #1 & #2.


Part Two (3 points): Write the equation of the line using y = mx + b. Replace the m with the slope from #3 and the b with the y value from #2. Use the equation generated to complete a table of at least four ordered pairs. You already have two ordered pairs from #1 and #2.


Part Three (5 points): Use graph paper to sketch a graph of the line in part two. Please be sure to write the coordinates of all points on the graph, label the x and y axes, place arrows on your graph.


My name has 6 letters and my last name 9

Answer 1

Answer:

i) b = 9

ii) m = -3/2

iii) another two ordered pairs on the graph can be (2, 6) and (8, -3).

Step-by-step explanation:

i.) equation of the line is y = mx + b

ii)  x  = number of letters in my first name  = 6 is the x-intercept

iii) y = number of letters in my last name = 9 is the y-intercept

iv) if x  = 0 then y-intercept is b. then 9 = (0 $\times$ m) + b. Therefore b = 9

v) if y = 0 then x -intercept is given by 0 = (6 $\times$ m) + 9.

Therefore 0 = 6m + 9   $\Rightarrow$   6m = -9,   m = -3/2

vi) another two ordered pairs on the graph can be (2, 6) and (8, -3).