Question

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

Answer 1

According to the given table, the slope-intercept equation of the line is given by:

$y = -2x + 1$

The equation of a line, in slope-intercept form, is given by:

$y = mx + b$

In which:

• The slope is m.

• The intercept is b.

In this problem, we are given two points, (3,-5) and (-2,5).

• The slope is given by change in y divided by change in x, hence:

$m = \frac{5 - (-5)}{-2 - 3} = -2$

Hence:

$y = -2x + b$

Point (3,-5) means that when $x = 3, y = -5$, which is used to find b.

$y = -2x + b$

$-5 = -2(3) + b$

$b = 1$

Hence, the equation of the line is:

$y = -2x + 1$

A similar problem is given at brainly.com/question/24685547