FOM1 Point-Slope Form Practice

Front

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

Back

The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Front

How do you convert a point and slope into point-slope form?

Back

To convert a point (x₁, y₁) and slope m into point-slope form, use the formula y - y₁ = m(x - x₁).

Front

Given the point (4, -7) and slope -1/4, write the equation in point-slope form.

Back

y = -1/4(x - 4) - 7.

Front

What is the slope in the equation y = mx + b?

Back

The slope in the equation y = mx + b is represented by m.

Front

What does the term 'slope' represent in a linear equation?

Back

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

Front

Given the slope ⅔ and point (-4, 7), write the equation in point-slope form.

Back

y = ⅔(x + 4) + 7.

Front

What is the significance of the point (9, -6) in the equation y = 10(x - 9) - 6?

Back

The point (9, -6) is the point used to write the equation in point-slope form.

Front

Write the equation of a line with slope -3/4 that passes through the point (4, 4).

Back

y = -3/4(x - 4) + 4.

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 = -2x + 5?

Back

The slope is -2.