Day 2 X& Y Intercepts Graph. shorter Standard to Slope Intercept

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is slope-intercept form?

Back

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

Front

How do you convert 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 in terms of x.

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

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 -4x - 2y = -10 to slope-intercept form.

Back

y = -2x + 5.

Front

Convert -3x + y = 5 to slope-intercept form.

Back

y = 3x + 5.

Front

Convert 3x + 2y = 6 to slope-intercept form.

Back

y = (-3/2)x + 3.

Front

What is the significance of the x-intercept in a linear equation?

Back

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

Front

How can you find the x-intercept from the equation in standard form?

Back

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