Question

graph the following linear equation.

\\y = -2x + 7\\

step 2 of 3: plot the y-intercept of the linear equation on the graph.

Explanation:

Identify the given equation and task

Using the Slope-Intercept Form knowledge point

$$ y = -2x + 7 $$

The task is to find and plot the \(y\)-intercept of this linear equation.

Determine the y-intercept

Using the Intercepts of a Line knowledge point

$$
LATEXBLOCK0
$$

The \(y\)-intercept is at the coordinate point \((0, 7)\).

Plot the coordinate point

Using the Plotting Points knowledge point

$$ (x, y) = (0, 7) $$

This point lies directly on the vertical \(y\)-axis, 7 units above the origin.

Answer:

The \(y\)-intercept to plot on the graph is \((0, 7)\).