Writing Equations in the Form y=mx+b

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) is 2.

Front

What is the y-intercept in the equation y = -1/2x + 4?

Back

The y-intercept (b) is 4.

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the equation of a line with a slope of 3 and a y-intercept of -2?

Back

The equation is y = 3x - 2.

Front

If a line passes through the point (0, 5), what is the y-intercept?

Back

The y-intercept is 5.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.

Front

How do you write the equation of a line given a slope of -2 and a point (1, 3)?

Back

Use point-slope form: y - 3 = -2(x - 1), which simplifies to y = -2x + 5.