Slope Intercept Exit Ticket
Algebra 1 • Lesson 4-3
Slope-Intercept Form Exit Ticket
Score: / 4
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1 Writing Equations in Slope-Intercept Form
1 pt
Write an equation in slope-intercept form (\(y = mx + b\)) for each given line:
a. Slope \(m = -\frac{3}{5}\) and \(y\)-intercept \(b = 4\)
\(y =\)
b. Slope \(m = 0\) and \(y\)-intercept \(b = -7\)
\(y =\)
2 Rewriting Linear Equations
1 pt
Solve for \(y\) to rewrite the equation in slope-intercept form. Show your work below:
Given: \(6x - 2y = 10\) Show steps
Form:
\(y =\)
\(m =\) \(b =\)
3 Graphing Linear Functions
1 pt
Identify the parameters and graph the equation \(y = -\frac{3}{2}x + 4\) on the grid:
\(y\)-intercept:
\((0,\) \()\)
Slope \(m\):
\(\frac{\text{rise}}{\text{run}} =\)
Graphing Checklist:
☐ Plot \(y\)-int ☐ 2+ points ☐ Line & arrows
x y 2 4 -2 -4 2 4 -2 -4
4 Real-World Modeling
1 pt
A youth music club charges a \(\$30\) registration fee plus \(\$15\) per week. Let \(y\) be the total cost for \(x\) weeks.
a. Write the equation in slope-intercept form:
\(y =\)
b. What does the slope (\(m\)) represent in this context?
Self-Check: Confused Getting There Confident!
CP Algebra 1 • 4-3 Slope-Intercept
Slope Intercept Answer Key
Teacher Resource • Answer Key
Slope-Intercept Form Exit Ticket — Key & Guide
Total: 4 Points
Course: CP Algebra 1 Part 1
Target Standard: CCSS.MATH.CONTENT.HSA.CED.A.2 / HSF.IF.C.7.A
Lesson: 4-3 Slope-Intercept
1 Writing Equations (1 Point Total — 0.5 pt each)
Answers
a. Slope \(m = -\frac{3}{5}\) and \(y\)-intercept \(b = 4\)
\(y = -\frac{3}{5}x + 4\)
Accept: \(y = -0.6x + 4\)
b. Slope \(m = 0\) and \(y\)-intercept \(b = -7\)
\(y = -7\)
Also accept: \(y = 0x - 7\)
2 Rewriting Linear Equations (1 Point)
Worked Steps
Algebraic Solution:
\(6x - 2y = 10\)
\(-2y = -6x + 10\) (subtract \(6x\))
\(y = \frac{-6x}{-2} + \frac{10}{-2}\) (divide all terms by \(-2\))
\(y = 3x - 5\)
Watch out: Forgetting to divide \(10\) by \(-2\) often results in \(y = 3x + 5\).
Correct Form: \(y = 3x - 5\)
Slope \(m\): \(3\)
\(y\)-int \(b\): \(-5\)
3 Graphing Linear Functions (1 Point)
Solution Graph
\(y\)-intercept: \((0, 4)\)
Slope \(m\): \(-\frac{3}{2}\) (down 3, right 2)
Key Points on Grid:
\((-2, 7)\), \((0, 4)\), \((2, 1)\), \((4, -2)\), \((6, -5)\)
Award full credit if line passes through \((0,4)\) and \((2,1)\) with arrows.
x y
4 Real-World Modeling (1 Point Total — 0.5 pt each)
Answers
a. Equation in slope-intercept form:
\(y = 15x + 30\)
Also accept: \(y = 30 + 15x\)
b. Meaning of slope (\(m = 15\)):
The weekly fee (\(\$15\) per week)
Accept: rate of change or cost per week.
Scoring Bands: 4/4: Mastered 3/4: Minor Sign/Calc Error 0-2/4: Needs Small-Group Reteach
CP Algebra 1 • Teacher Edition
