The problem asks to choose the correct graph for the linear equation $y = 82x + 150$.

1. Problem Description

The problem asks to choose the correct graph for the linear equation $y = 82x + 150$.

2. Solution Steps

The given equation is in the slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. In this case, the slope $m = 82$ and the y-intercept $b = 150$.

The slope $m = 82$ is a positive number, which means the line should be increasing from left to right.

The y-intercept is $150$, which means the line should intersect the y-axis at the point $(0, 150)$.

Looking at the provided graphs, we need to find a graph that has a positive slope and intersects the y-axis at $y=150$. Graph A appears to have a positive slope and intersects the y-axis at or close to

1

5

0. Graphs B and C have negative slopes. Graph D has a positive slope but a smaller y-intercept than graph A.

Therefore, the correct graph is A.

3. Final Answer

A