Point-Slope & Standard Form Review

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

Write the equation in point-slope form of the line that passes through the point (-2, -1) with slope m = -3.

Back

y + 1 = -3(x + 2)

Front

Given the slope m = 5 and the point (2, 4), write the equation in point-slope form.

Back

y - 4 = 5(x - 2)

Front

What is the equation of the line that is horizontal at y = 1?

Back

y = 1

Front

Which linear equation represents the line graphed on the coordinate plane?

Back

2x + 3y = 12

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Define point-slope form of a linear equation.

Back

Point-slope form is given by the equation y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

What is standard form of a linear equation?

Back

Standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the slope from two points (x_1, y_1) and (x_2, y_2)?

Back

The slope m is calculated as m = (y_2 - y_1) / (x_2 - x_1).

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

Convert the point-slope equation y - 3 = 2(x + 1) to slope-intercept form.

Back

y = 2x + 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3