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.

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).

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.

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.

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.

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.

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.