Writing Equations (Point Slope and Slope Intercept Form))

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

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

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope 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 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.

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 y when x = 0.

Front

Convert the point-slope equation y - 2 = 3(x - 1) to slope-intercept form.

Back

y = 3x - 1.

Front

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

Back

The slope is 2.

Front

What is the equation of a line with a slope of 4 that passes through the point (1, 2)?

Back

y - 2 = 4(x - 1) or y = 4x - 2.

Front

If a line has a slope of -1 and passes through the point (3, 5), what is its equation?

Back

y - 5 = -1(x - 3) or y = -x + 8.

Front

What is the equation of the line that passes through (0, -5) and (4, 3)?

Back

y = 2x - 5.