Equation of a line from a graph

Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

What is the equation of the line with a slope of -4/5 and a y-intercept of 3?

Back

The equation is y = -4/5x + 3.

Front

If m = 3 and b = 6, what is the slope-intercept equation?

Back

The equation is y = 3x + 6.

Front

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

Back

The slope is 2.

Front

Write the equation for the graph with a slope of -1/2 and a y-intercept of 2.

Back

The equation is y = -1/2x + 2.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope is the tangent of the angle that the line makes with the positive x-axis.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis.