Write Equations in Slope-Int. Form Given Pt. & Slope or Two Pts.

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 is the y-intercept of a line?

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.

Front

Write the equation of the line with slope 2 that passes through the point (1, 3).

Back

y = 2x + 1.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

Given the points (2, 3) and (4, 7), what is the slope of the line connecting them?

Back

m = (7 - 3) / (4 - 2) = 2.

Front

Convert the equation 3x + 2y = 6 to slope-intercept form.

Back

y = -3/2x + 3.

Front

What is the equation of the line that passes through the points (0, 0) and (5, 10)?

Back

y = 2x.

Front

If a line has a slope of -1 and passes through the point (2, 4), what is its equation?

Back

y = -x + 6.