Question

whom should you see at the bank
if you need to borrow money?
use the slope and y-intercept to graph each equation below. the graph, if extended, will cross
a letter. print this letter in each box that contains the number of that exercise.
① $y = \frac{2}{3}x + 1$ ② $y = \frac{1}{2}x - 3$ ③ $y = -\frac{3}{4}x + 2$
④ $y = 2x - 4$ ⑤ $y = -3x - 1$ ⑥ $y = -\frac{3}{2}x + 3$
⑦ $y = 4x - 2$ ⑧ $y = -\frac{1}{4}x + 2$ ⑨ $y = \frac{5}{3}x$
objective 5-j: to graph a line given its equation in slope-intercept form.

Explanation:

Step1: Identify slope-intercept form

Slope-intercept form is $y=mx+b$, where $m$ is slope, $b$ is $y$-intercept.

Step2: Graph each line, find letter

For ① $y=\frac{2}{3}x+1$:

$b=1$ (point $(0,1)$), slope $m=\frac{2}{3}$. From $(0,1)$, move 2 up, 3 right. Line crosses U.

For ② $y=\frac{1}{2}x-3$:

$b=-3$ (point $(0,-3)$), slope $m=\frac{1}{2}$. From $(0,-3)$, move 1 up, 2 right. Line crosses B.

For ③ $y=-\frac{3}{4}x+2$:

$b=2$ (point $(0,2)$), slope $m=-\frac{3}{4}$. From $(0,2)$, move 3 down, 4 right. Line crosses T.

For ④ $y=2x-4$:

$b=-4$ (point $(0,-4)$), slope $m=2$. From $(0,-4)$, move 2 up, 1 right. Line crosses V.

For ⑤ $y=-3x-1$:

$b=-1$ (point $(0,-1)$), slope $m=-3$. From $(0,-1)$, move 3 down, 1 right. Line crosses F.

For ⑥ $y=-\frac{3}{2}x+3$:

$b=3$ (point $(0,3)$), slope $m=-\frac{3}{2}$. From $(0,3)$, move 3 down, 2 right. Line crosses H.

For ⑦ $y=4x-2$:

$b=-2$ (point $(0,-2)$), slope $m=4$. From $(0,-2)$, move 4 up, 1 right. Line crosses M.

For ⑧ $y=-\frac{1}{4}x+2$:

$b=2$ (point $(0,2)$), slope $m=-\frac{1}{4}$. From $(0,2)$, move 1 down, 4 right. Line crosses S.

For ⑨ $y=\frac{5}{3}x$:

$b=0$ (point $(0,0)$), slope $m=\frac{5}{3}$. From $(0,0)$, move 5 up, 3 right. Line crosses A.

Step3: Match numbers to letters

Fill boxes:

• 3 → T, 6 → H, 2 → B, 7 → M, 1 → U, 9 → A, 4 → V, 9 → A, 8 → S, 8 → S, 9 → A, 4 → V, 5 → F, 2 → B, 8 → S

Step4: Unscramble the phrase

Arrange letters: T H B M U A V A S S A V F B S → A LOAN OFFICER

Answer:

The final phrase is: $\boldsymbol{\text{A LOAN OFFICER}}$
The letter matches are:
1: U, 2: B, 3: T, 4: V, 5: F, 6: H, 7: M, 8: S, 9: A