Chapter 2: Introduction to Linear Polynomials
Chapter 2: Introduction to Linear Polynomials
Exercise
Question
Question: 7 (i)
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Draw the graph of the following equations, and identify its slope and y-intercept. Also, find the coordinates of the point where it cuts the y-axis.
(i) y = -3x + 4
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Answer
1
Choose a few values of x and calculate the corresponding values of y to plot the line.
The table shows some sample values of $x$ and $y$.
$x$ | $y$ |
|---|---|
0 | 4 |
1 | 1 |
2
Answer: Graph of the equation y = -3x + 4
Plot the points and join them to draw the straight line.
3
Compare the given equation with y = ax + b to identify the slope and the y-intercept.
Answer: Slope = -3 and $y$-intercept = 4
Reason: Comparing $y = -3x + 4$ with $y = ax + b$, we get $a = -3$ and $b = 4$
4
Find the point where the graph cuts the y-axis.
The $y$-intercept is 4, so the graph crosses the $y$-axis when $x = 0$ and $y = 4$. Hence, the point is $(0, 4)$
5
Write the coordinates of the point where the graph cuts the y-axis.
Answer: The graph cuts the $y$-axis at $(0, 4)$