Study Guide If you know the slope of a line and the coordinates of one point on the line, you can write an equation of the line by using the point-slope form. For a given point (x, y) on a nonvertical line with slope m, the point-slope form of a linear equation is y - y1 = m(x − x1). You can also find an equation of a line if you know the coordinates of two points on the line. First, find the slope of the line. Then write the line's equation using the point-slope form or standard form. Directions: Write the standard form of an equation of the line that passes through the given point and has the given slope. 4x − y = 7 6x − y = −44 10x − 2y = −1 3x − 4y = −24 y = 7 x − y = 5 Directions: Write the point-slope form of an equation of the line that passes through each pair of points. y − 3 = −1/7 (x − 6) y − 7 = −2/11 (x − 10) y − 5 = 9/8 (x − 8) y + 6 = −1/4 (x − 5) y − 2 = −(x −9) y + 10 = 6/5 (x + 6)
Writing Linear Equations in Point-Slope and Standard Form
