Linear Equations <- Grade 9 Math - Linear Equations Basics - Training Quiz Grade 9 Math - Linear Equations Basics - Training Quiz Share Quiz Get Embed Code Copy the code below to embed this quiz on your website: <iframe src="https://tutorone.ca/practice-test/?embed=true" width="100%" height="800" style="border: none; max-width: 100%;" data-source="tutorone" allowfullscreen></iframe> Copy Code 12345 Grade 9 Math - Linear Equations Basics - Training Quiz 1 / 5 In the equation \(y = 4x - 7\), what is the value of the \(y\)-intercept? Show your work and explain why this value represents the \(y\)-intercept. 4 -7 7 0 This equation is in the slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\)-intercept. By identifying \(b = -7\), we see that when \(x = 0\), the equation simplifies to \(y = -7\). Therefore, the \(y\)-intercept is \(-7\). 2 / 5 Determine the slope of the line passing through the points (2, 3) and (6, 11). Show your work and explain your steps. 2 1 4 -2 The slope of a line is calculated using the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substituting the given points, \(m = \frac{11 - 3}{6 - 2} = \frac{8}{4} = 2\). The slope is \(2\), which represents the rate of change in \(y\) for a unit change in \(x\). 3 / 5 The equation of a line is given as \(2y - 6x = 10\). Rewrite the equation in slope-intercept form and determine the slope. 3 -3 \(\frac{1}{2}\) 5 To rewrite in slope-intercept form, isolate \(y\): \(2y = 6x + 10\), then divide by 2: \(y = 3x + 5\). The slope-intercept form is \(y = 3x + 5\), and the slope is \(3\). 4 / 5 Find the equation of the line with slope \(2\) and \(y\)-intercept \(-4\). Write your final answer in slope-intercept form. \(y = 2x - 4\) \(y = 2x + 4\) \(y = -2x - 4\) \(y = -2x + 4\) Using the slope-intercept form \(y = mx + b\), substitute \(m = 2\) and \(b = -4\): \(y = 2x - 4\). This equation represents a line with the given slope and intercept. 5 / 5 A line passes through the point (1, 5) and has a slope of \(-3\). Write the equation of the line in slope-intercept form. \(y = -3x + 8\) \(y = 3x + 8\) \(y = -3x - 8\) \(y = 3x - 8\) Start with the point-slope form \(y - y_1 = m(x - x_1)\), where \(m = -3\) and \((x_1, y_1) = (1, 5)\). Substituting: \(y - 5 = -3(x - 1)\). Simplify: \(y - 5 = -3x + 3\). Adding 5: \(y = -3x + 8\). Your score is Follow us on socials! LinkedIn Facebook Twitter 0% Restart quiz Send feedback About This Quiz This is a training quiz for linear equations in grade 9/10 math designed for the Ontario Curriculum (Canada) More Quizzes Substitution/Elimination Method for Linear Equations + Explanations Take Quiz Linear Equations - 12 Questions with Answers + Explanations Take Quiz 23 Questions on Quadratic Equations - Factoring, Completing Square, Quadratic Formula + Explanations Take Quiz Grade 9 Linear Equations - Substitution, Elimination Methods Questions Take Quiz SSAT Reading Comprehension Practice Test 2011 Take Quiz Combined gas law, Dalton’s law and Downward displacement, Graham’s Law, Gas Stoichiometry, Coulombs Law, and Gibbs Free energy Quiz Take Quiz SAT Physics Temperature Conversion Mastery Quiz (Hard) Take Quiz MCAT Critical Reasoning - CARS - Diagnostic Test with Answers and Explanations Take Quiz