Writing Equations Using Slope and One Point
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 4: Graphing and Writing Linear Equations) learn to write linear equations using the point-slope form y - y1 = m(x - x1) when given a slope and one point. Students substitute the slope and point coordinates into the formula to write the equation of a line.
Key Concepts
To find an equation of a line with a given slope and a point, substitute the slope and the coordinates of the point into the point slope form: $y y 1 = m(x x 1)$.
Common Questions
What is point-slope form in 7th grade math?
Point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a known point on the line. It is used to write a linear equation given slope and one point.
How do you write an equation using slope and one point?
Substitute the slope for m and the point coordinates for (x1, y1) in y - y1 = m(x - x1). For example, slope 3 through point (2, 5): y - 5 = 3(x - 2).
What do you do with negative coordinates in point-slope form?
Be careful with signs. If the point is (-1, 3), substitute: y - 3 = m(x - (-1)) which simplifies to y - 3 = m(x + 1).
What chapter in Big Ideas Math Advanced 2 covers writing equations from slope and a point?
Chapter 4: Graphing and Writing Linear Equations in Big Ideas Math Advanced 2 (Grade 7) covers writing equations using slope and one point.
What is the difference between point-slope form and slope-intercept form?
Point-slope form y - y1 = m(x - x1) uses any point on the line. Slope-intercept form y = mx + b uses specifically the y-intercept. Both can be converted to the other.