Slope Intercept

Front

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

Back

The slope-intercept form is 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 = 3/2x + 3?

Back

The slope is 3/2.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

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

Front

How do you convert the equation 4x + y = -10 to slope-intercept form?

Back

Rearranging gives y = -4x - 10, so the slope is -4 and the y-intercept is -10.

Front

What is the y-intercept of the line represented by the equation y = 3/5x - 1?

Back

The y-intercept is -1, which is the point (0, -1).

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line steep.

Front

How do you find the slope between two points, (-2, -3) and (4, 3)?

Back

Use the formula: slope = (y2 - y1) / (x2 - x1) = (3 - (-3)) / (4 - (-2)) = 6/6 = 1.

Front

What is the equation of a line that has a slope of 3 and passes through the point (0, 2)?

Back

The equation is y = 3x + 2.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal and does not rise or fall as x changes.

Front

How do you write an equation for a situation where a plumber charges $50 for a house call plus $12 per hour?

Back

The equation is y = 12x + 50, where y is the total charge and x is the number of hours.