Unit 4, Lesson 11
Connecting Equations to Graphs (Part 2)
Integrated Math 1
Practice
Problem 1
What is the slope of the graph of \(5x - 2y = 20\)?
-10
\(\frac{\text-2}{5}\)
\(\frac{5}{2}\)
5
Problem 2
What is the \(y\)-intercept of each equation?
-
\(y = 6x + 2\)
-
\(10x + 5y = 30\)
-
\(y - 6 = 2(3x - 4)\)
Problem 3
Han wanted to find the intercepts of the graph of the equation \(10x+4y=20\). He decided to put the equation in slope-intercept form first. Here is his work:
\(\displaystyle \begin{align} 10x+4y &= 20 \\ 4y &= 20-10x \\ y &=5-10x \\ \end{align}\)
He concluded that the \(x\)-intercept is \((\frac12,0)\) and the \(y\)-intercept is \((0,5)\).
- What error did Han make?
- What are the \(x\)- and \(y\)-intercepts of the line? Explain or show your reasoning.