Write Line Equations From a Slope and a Point

Start with Write Equations From the Slope and y-Intercept, then move to tables and graphs before two points and a slope and a point. Save the word problem sheet and the five ways review for the end.

Substitute a slope and one point, like m = 2 and (3, 9), into y = mx + b to write ten lines. The directions on the page read: Each line has slope m and passes through the point given. In the box, substitute m and the point into y = mx + b and solve for b. Then write the equation on the line. An answer key is included.

Yes, both. We made it for 8th grade linear equations, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

Find the slope by dividing the change in y by the change in x. Substitute the slope and one point into y = mx + b and solve for b. Write Line Equations From Two Points practices this with ten pairs of points.

Find the slope from the change in y over the change in x. If the table has x = 0, the y value there is b. If not, substitute a point to solve for b, as on Write Equations From Tables Without x = 0.

The slope m is the rate, such as $2.25 for each mile of a taxi ride. The y-intercept b is the starting value, such as the $3.50 fee to start the ride. Linear Function Word Problems, Initial Value and Rate asks students to explain both.