Slope Intercept Form Review 2

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

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, calculated as rise/run.

Front

If a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

Write the equation of a line with a slope of -3 and a y-intercept of 2.

Back

The equation is y = -3x + 2.

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x + 1?

Back

The slope is -rac{1}{2}.

Front

If a line passes through the point (0, -5), what is the y-intercept?

Back

The y-intercept is -5.

Front

What is the equation of a line with a slope of 4 that passes through the point (1, 2)?

Back

Using point-slope form: y - 2 = 4(x - 1), which simplifies to y = 4x - 2.

Front

How do you convert the equation y = 2x - 3 to slope-intercept form?

Back

It is already in slope-intercept form: y = mx + b.