Writing Equations

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 (m) between 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 y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Given points (2, 2) and (3, 4), find the equation of the line in slope-intercept form.

Back

The equation is y = 2x - 2.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that can be solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, write equations based on the relationships described, and ensure they reflect the problem's conditions.

Tags

CCSS.HSA.CED.A.3

Front

What is the formula for the equation of a line given a point and a slope?

Back

The equation can be written as y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

Given points (-5, 1) and (-1, 5), write the equation in slope-intercept form.

Back

The equation is y = x + 6.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients represent the rate of change (slope) and the constant term represents the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you solve a system of equations graphically?

Back

Graph both equations on the same coordinate plane and identify the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B