slope intercept form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope is represented by the coefficient m.

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Front

What is the y-intercept in the equation y = 4x + 13?

Back

The y-intercept in the equation y = 4x + 13 is 13, which is the value of y when x = 0.

Front

How can you find the equation of a line given a slope and a point?

Back

You can use the point-slope form of the equation, which is y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept represents the value of y when x is zero, often indicating the starting point or initial condition of a situation.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and can be represented by an equation of the form x = a, where a is a constant.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0 and can be represented by an equation of the form y = b, where b is a constant.

Front

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

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side of the equation.