The equation you provided is:

\[
y = -2x + 145x - 1051
\]

First, let's simplify the expression by combining like terms:

\[
y = (-2x + 145x) - 1051
\]

\[
y = 143x - 1051
\]

Thus, the simplified equation is:

\[
y = 143x - 1051
\]

This is a linear equation in slope-intercept form \(y = mx + b\), where:
- \(m = 143\) is the slope of the line.
- \(b = -1051\) is the y-intercept (the value of \(y\) when \(x = 0\)).

### Would you like more details or have any questions?

Here are 5 questions you might consider next:
1. What is the slope of the line and how does it affect the graph?
2. What is the y-intercept, and where does the line cross the y-axis?
3. How would you find the x-intercept of this line?
4. What happens to the value of \(y\) as \(x\) increases or decreases?
5. How would you graph this line on a coordinate plane?

**Tip:** The slope tells you how steep the line is and in which direction it moves! A positive slope means the line goes up as \(x\) increases.

Learn how to simplify and solve the linear equation y = -2x + 145x - 1051. This step-by-step guide breaks down the algebraic process, combining like terms to present the solution in slope-intercept form (y = mx + b). Suitable for Grades 8-10.

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