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Chapter 2: Q22. (page 79)

Write an equation in slope-intercept form for each graph.

Short Answer

Expert verified

The equation of the required straight line in slope-intercept form is $y = 2$ .

Step by step solution

01

– State the concept

The slope intercept form of a straight-line equation is $y = m x + c$ where $m$ is the slope and $c$ is the y-intercept.

The slope of a horizontal line is $0$ .

The y-intercept is the value of $y$ at the point where the line crosses the $y$ -axis.

02

– List the given data

It is clear, from the graph, that the line is parallel to x-axis and thus, is a horizontal line.

It is also clear that the line crosses the y-axis at the point $(0, 2)$ .

03

– Write the equation

The given line is a horizontal line. Thus, its slope is $0$ . So, $m = 0$ .

The line crosses the y-axis at the point $(0, 2)$ . Thus, its y-intercept is $2$ . So, $c = 2$ .

Put $m = 0$ and $c = 2$ in $y = m x + c$ to get,

$y = (0) x + 2$

$y = 2$ (Simplify)

So, the required equation of the straight line in slope-intercept form is $y = 2$ .

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Most popular questions from this chapter

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning.

$f (x) = 6 x - 19$

Which of the functions $f (x) = 2 x + 4, g (x) = 7$ and $h (x) = x^{3} - x^{2} + 3 x$ is not linear.

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning.

$21 . f (x) = 7 x^{5} + x - 1$

If n is a prime integer such that $2 n > 19 \geq \frac{7}{8} n$ what is one possible value of n?

1.In the figure, $∠ B and ∠ B C D$ are right angles. $\bar{B C}$ is 9 units, $\bar{A B}$ is 12 units and $\bar{C D}$ is 8 units. What is the area, in square units of $Δ A C D$ ?

$A . 36 B. 60 C.72 D.135$

See all solutions

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