Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Passing through ( - 4,7) and (1,2) What is the equation of the line in point-slope form? (Simplify your answer. Use integers or fractions for any numbers in the equation.) What is the equation of the line in slope-intercept form? (Simplify your answer. Use integers or fractions for any numbers in the equation.)
Added by Anne H.
Close
Step 1
First, we need to find the slope of the line. The slope (m) can be found using the formula: m = (y2 - y1) / (x2 - x1) Using the given points (-4, 7) and (1, 2), we have: x1 = -4, y1 = 7, x2 = 1, and y2 = 2 So, m = (2 - 7) / (1 - (-4)) = (-5) / (5) = -1 Show more…
Show all steps
Your feedback will help us improve your experience
Supreeta N and 92 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Write an equation in point-slope form for the line. Through (4,7) and (1,1)
Linear Functions, Expressions, and Equations
Equations for Lines in the Plane
Write an equation in point-slope form of the line that passes through the given points. Then write the equation in slope-intercept form. $$ (1,4),(-1,1) $$
Linear Functions
Point-Slope Form
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD