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 y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is represented by the coefficient 'm' in the equation y = mx + b.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept represents the point where the line crosses the y-axis, and it is given by the value 'b' in the equation.

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, the value of y increases by 2 units, making the line relatively steep.

Front

How can you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert to slope-intercept form, solve for y: 3y = -2x + 6, then y = -2/3x + 2.

Front

What is the slope of the line represented by the equation y = -5x + 1?

Back

The slope of the line is -5.

Front

How do you find the y-intercept from the equation y = 3x - 4?

Back

The y-intercept is -4, which is the constant term in the equation.

Front

What is the equation of a line with a slope of 1 and a y-intercept of 0?

Back

The equation is y = 1x + 0, or simply y = x.

Front

If two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, they have the same slope.

Front

What is the significance of a slope of 0 in a linear equation?

Back

A slope of 0 indicates a horizontal line, meaning the y-value remains constant regardless of the x-value.