Algebra (WRITING LINEAR EQUATIONS)

general form

Ax + By + C = 0

y-intercept

the point where the line crosses the y-axis

slope

the rate of change of a line; change in y over change in x; rise over run

The graph of a line passes through the two points (-2, 1) and (2, 1). What is the equation of the line written in general form?

x - y + 1 = 0

You may be asked to write the equation in general form instead of slope-intercept form. Rewrite the equation:

y = 2/3x - 5 3y = 2x - 15 -2x + 3y + 15 = 0 multiply both sides by (-1) 2x - 3y - 15 = 0

The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?

y = 2x + 0 or y = 2x

Write the equation of the line that has an x-intercept of -3 and passes through the point (-3, 7).

y = 7

slope-intercept form

y = mx + b form of a linear equation m = slope b = y-intercept

The slope of a line is 0, and the y-intercept is 6. What is the equation of the line written in slope-intercept form?

y = x + 6

The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?

Using the slope-intercept form substitute the values of m and b into the equation: y = -1/3x + 10/3 general form = x + 3y + 10 = 0

The slope of a line is -4, and the y-intercept is -3. What is the equation of the line written in slope-intercept form?

Using the slope-intercept form substitute the values of m and b into the equation: y = -4x + (-3)

A line has a y-intercept of 3 and a slope of 0. Write the equation of the line in general form.

Using the slope-intercept form substitute the values of m and b into the equation: y = 0x + 3 solve for y: y = 3 general form = y - 3 = 0

Write the equation of the line that has a slope of 2/3 and a y-intercept of -5.

Using the slope-intercept form substitute the values of m and b into the equation: y = 2/3x + -5

The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?

Using the slope-intercept form substitute the values of m and b into the equation: y = x - 1

linear equation

an open sentence whose graph is a line; the general form for such an equation is Ax + By + C = 0

The graph of a line passes through two given points, as shown on the graph below. What is the equation of the line written in general form?

https://internationalvla.sooschools.com/media/g_alg01_ccss_2016/3/77c.gif Using the slope-intercept form substitute the values of m and b into the equation: y = 1x + 5 general form = x + y - 5 = 0

What is the equation of the line shown written in slope-intercept form?

https://internationalvla.sooschools.com/media/g_alg01_ccss_2016/3/81b.gif Using the slope-intercept form substitute the values of m and b into the equation: x = 2 + 0 or x = 2