Standard Form to Slope Intercept Form

Front

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

Back

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

Front

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

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y by isolating it on one side of the equation.

Front

What does the slope (m) represent in the slope-intercept form?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

Convert the equation 5x + 2y = 10 to slope-intercept form.

Back

y = -rac{5}{2}x + 5.

Front

Convert the equation 2x + 4y = 8 to slope-intercept form.

Back

y = -rac{1}{2}x + 2.

Front

What is the slope of the line represented by the equation 3x - 6y = 12?

Back

The slope is rac{1}{2}.

Front

If the slope of a line is 3, what does this indicate about the line?

Back

It indicates that for every 1 unit increase in x, y increases by 3 units.

Front

What is the y-intercept of the line represented by the equation y = -2x + 4?

Back

The y-intercept is 4.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.