Write an equation of a line(AT)

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 identify the slope from the equation y = -3x + 8?

Back

The slope is -3.

Front

What does the y-intercept represent in the equation y = 2x + 6?

Back

The y-intercept is 6, which means the line crosses the y-axis at the point (0, 6).

Front

If a line has a slope of 4 and passes through the point (-2, 5), what is the equation of the line?

Back

The equation is y = 4x + 13.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3.

Front

How can you determine the equation of a line from a graph?

Back

Identify two points on the line, calculate the slope (rise/run), and use the slope-intercept form to write the equation.

Front

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

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

Given the equation y = -2x + 3, what is the y-intercept?

Back

The y-intercept is 3.

Front

How do you convert a point-slope form equation to slope-intercept form?

Back

Use the formula y - y1 = m(x - x1) and solve for y to get it into the form y = mx + b.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -4?

Back

The equation is y = 2x - 4.