Graphs · Capstone · C1

Read it, plot it, write it.

Pull it together: name and plot points, find distance and slope, read a y-intercept, and move between a graph and y = mx + b. Pick the skill the question needs.

01 / THE IDEA

See it work.

Watch the method

Read it, plot it, write it

Read the question, then plot, compute, or write.

1 / 2
-6-666
1

Rise over run

Rise = change in y = 3; run = change in x = 1.

31\frac{3}{1}
2

Simplify

The slope is rise ÷ run.

m=3m = 3
02 / YOUR TURN

Practice until it feels automatic.

Your turn

Work it out.

Type a number, e.g. 5.

streak 0
best 0
-6-666
Your answer:
— / WHY IT WORKS

The idea underneath.

The toolkit

Points (x, y), quadrants, distance, slope = rise/run, y-intercept b, and y = mx + b — choose the right one.

Why it works

Identify what’s asked first.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Solve y=-1x+6

1

Read the y-intercept

In y = mx + b, the y-intercept is b — where the line crosses the y-axis. y = -x + 6 ⇒ b = 6

EX 2medium

Solve (1,-3)

1

Read across, then up

Go 1 right (x), then 3 down (y). (1, -3)

EX 3hard

Solve (-1,2)-(0,1)

1

Rise over run

Rise = change in y = -1; run = change in x = 1. -1/1

2

Simplify

The slope is rise ÷ run. m = -1

04 / COMMON TRAPS

Where students slip.

Trap

Confusing slope with intercept.

Fix

m is steepness; b is where it crosses.

Trap

Swapping x and y.

Fix

Across first, then up.

05 / QUIZ

Test yourself.

The Test

12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.

0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).
Core

Core (4)

C1

Solve (1,-1)

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.
C2

Solve (1,-4)

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.
C3

Solve (-2,-2)-(-1,1)

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.
C4

Solve y=-3x-5 @ -2

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.
Apply

Apply (4)

A1

Solve (4,6)-(1,-2)

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.
A2

Solve (-3,-7)-(-2,-5)

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.
A3

Solve (-4,-6)-(-5,-4)

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.
A4

Solve y=3x+5

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.
Extension

Extension (4)

E1

Solve y=1x-3

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.
E2

Solve y=3x+3 @ -2

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.
E3

Solve (2,2)

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.
E4

Solve y=3x+6

Need a hint?
  • Identify what the question asks.
  • Apply the matching skill.