Writing Linear Equations from Graphs

Front

What is the slope in the equation y=3+2x?

Back

2

Front

Find the slope of the line represented by the points (2, 3) and (4, 6).

Back

Slope = 3/2

Front

What is the slope of a line passing through (1, 2) and (1, -2)?

Back

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Front

Write the equation for the line in slope-intercept form given a slope of 4 and a y-intercept of 3.

Back

y = 4x + 3

Front

Back

(0, 0)

Front

Define slope in the context of a linear equation.

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

Rearrange the equation to solve for y in terms of x.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1)

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.