write linear equations

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 the equation 5x + y = -5 into slope-intercept form?

Back

To convert, isolate y: y = -5x - 5.

Front

What is the y-intercept of the equation y = 2x - 6?

Back

The y-intercept is -6.

Front

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

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of the line represented by the equation y = -4x + 3?

Back

The slope is -4.

Front

What does it mean for two lines to have the same y-intercept?

Back

It means they intersect the y-axis at the same point.

Front

How do you determine if a point lies on a line given by an equation?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

Convert the equation 2x + 2y = 6 into slope-intercept form.

Back

Isolate y: y = -x + 3.