Q2 - Alg 1 - Hw #06

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, which occurs when y = 0.

Front

How do you find the x-intercept from the equation -x + 2y = 4?

Back

To find the x-intercept, set y = 0 and solve for x. The x-intercept is -4.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, which occurs when x = 0.

Front

How do you find the y-intercept from the equation -x + 2y = 4?

Back

To find the y-intercept, set x = 0 and solve for y. The y-intercept is 2.

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is given by the equation y - y_0 = m(x - x_0), where (x_0, y_0) is a point on the line and m is the slope.

Front

What does the slope of a line represent?

Back

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

Front

How do you determine the slope from the equation y = -1/2x - 3?

Back

The slope is the coefficient of x in the equation, which is -1/2.

Front

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

Back

The y-intercept indicates the value of y when x is zero, representing where the line crosses the y-axis.

Front

How can you convert the equation -x + 2y = 4 into slope-intercept form?

Back

To convert to slope-intercept form (y = mx + b), solve for y: 2y = x + 4, then y = 1/2x + 2.

Front

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

Back

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