Find The Equation of the Line

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line 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 between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) 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 y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write the equation of a line with a slope of 2 and a y-intercept of -3.

Back

y = 2x - 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line descends from left to right.

Tags

CCSS.8.EE.B.5

Front

How do you determine the y-intercept from the equation y = 4x + 5?

Back

The y-intercept is 5, which is the value of b in the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the equation of a line that passes through the point (0, 6)?

Back

The equation is y = 6, which is a horizontal line.

Front

If the slope of a line is 3, what does this mean?

Back

A slope of 3 means that for every 1 unit increase in x, y increases by 3 units.

Tags

CCSS.8.EE.B.5