Question

graph a line using its slope and intercept

in the following exercises, identify the slope and \\(y\\)-intercept of each line.

1. \\(y = -7x + 3\\)

Explanation:

Identify the slope-intercept form

Compare the given equation with the standard slope-intercept form.
Using the Graphing Linear Equations knowledge point:

$$ y = mx + b $$

where \(m\) represents the slope and \(b\) represents the \(y\)-intercept.

Extract the slope and y-intercept

Match the coefficients from the given equation to the standard form.
Given equation:

$$ y = -7x + 3 $$

Comparing coefficients:

$$ m = -7, \quad b = 3 $$

The slope is \(-7\) and the \(y\)-intercept is \((0, 3)\).

Answer:

Slope: \(-7\)
\(y\)-intercept: \((0, 3)\)