Graph Linear Equations

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be 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 of a line 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 the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Rewrite the equation 4y = -5x + 12 in slope-intercept form.

Back

y = -\frac{5}{4}x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Tags

CCSS.8.EE.B.5

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

How do you isolate y in the equation y + 3x = 1?

Back

To isolate y, subtract 3x from both sides: y = 1 - 3x.

Tags

CCSS.6.EE.C.9

Front

What is the slope of the line represented by the equation y = -6/5x - 3?

Back

The slope of the line is -6/5.

Tags

CCSS.8.EE.B.5

Front

How do you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3