Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation of the line is \( y = 7x + 2 \).
Solution
You have provided the slope and the \( y \)-intercept of a linear equation. The slope-intercept form of a linear equation is given by:
\[
y = mx + b
\]
where:
- \( m \) is the slope,
- \( b \) is the \( y \)-intercept.
From your information:
- \( m = 7 \)
- \( b = 2 \)
Now, substituting these values into the slope-intercept form:
\[
y = 7x + 2
\]
This is the equation of the line with a slope of 7 and a \( y \)-intercept of 2. If you need further analysis or a specific calculation related to this equation, please let me know!
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
Did you know that the slope-intercept form of a linear equation is simply written as \( y = mx + b \)? In your case, with a slope \( m = 7 \) and a \( y \)-intercept \( b = 2 \), you can easily sketch the line on a graph. Start at point (0,2) on the \( y \)-axis and use the slope to ascend 7 units up and 1 unit right to find your next point! If you’re looking to deepen your understanding of linear equations, explore different forms of equations such as the point-slope form and standard form. You could also examine the concept of parallel and perpendicular lines, as they relate to slopes. There's a treasure trove of knowledge waiting for you in algebra!
