Writing Equations of Lines

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What is a y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

Write the equation of a line with slope -2 that passes through the point (7, -1).

Back

y = -2x + 13.

Front

Write the equation of a line with y-intercept (0, -2) and slope 6.

Back

y = 6x - 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you write the equation of a line given two points?

Back

First, calculate the slope using the two points, then use the point-slope form: y - y1 = m(x - x1).

Front

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

Back

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

Front

Write the equation of the line through the points (8, -7) and (-2, 8).

Back

y = -\frac{3}{2}x + 5.

Front

What is the significance of the slope in a real-world context?

Back

The slope can represent speed, growth rate, or any other rate of change in various applications.

Tags

CCSS.8.EE.B.5