Question

Find the slope and y-intercept for the two linear functions. Linear Functions Identify the slope of the line given in the table: Identify the y-intercept of the line given in the table: Identify the slope of the line given by the equation: Identify the y-intercept of the line given by the equation:

Answer 1

ANSWER

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EXPLANATION

The table contains these two points (-4,-3) and (2,-4.5)

The slope of this line is given by;

$m = \frac{rise}{run}$

$m = \frac{ - 4.5 - - 3}{2 - - 4} = \frac{ - 1.5}{6}$

$m = - \frac{1}{4}$

The y-intercept can be obtained by finding the equation of the line in the form:

$y = mx + c$

We plug in the slope and the point (-4,-3) to find c.

This implies that,

$- 3 = - \frac{1}{4} \times - 4 + c$

$- 3 = 1 + c$

$c = - 3 - 1 = - 4$

Hence the y-intercept is -4.

The given line is

$y = \frac{3}{2} x + 1$

This is already in the slope intercept form:

The slope is

$m = \frac{3}{2}$

The y-intercept is c=1

Answer 2

Answer:

1. -1/4

2. -4

3. 3/2

4. 1

Step-by-step explanation: