8.4c/8.5I Slope and Y-Intercept and Writing Equations Flashcard

Front

Slope: m

Back

Slope is calculated using two sets of data coordinate points from a table, graph, ot given. Use the formula to find the slope (m).

Front

Steps to find the y-intercept (b)

Back

1. Use the equation y = mx + b.

2. Find slope (m) if not given.

3. Use one point (given or on the line).

4. Substitute the x and y values of the point into the equation along with the slope (m) into y=mx + b

5. MENU 3-1

Solve for b, which is the y-intercept.

Front

Writing equations in slope-intercept form

y=mx+b

Back

Equations are always written in the form

y = mx + b. For word problems, keywords help determine the slope (m) and y-intercept (b). Common keywords for slope:

"per," "each," "every." Common keywords for y-intercept: "initial," "fee," "started with."

Front

Key tip for identifying slope and y-intercept

Back

Slope (m): Remember the one that repeats.

Y-intercept (b): Remember the one that you start with.

The y-intercept is the point where the line crosses the y-axis (x = 0).