Point slope form

Front

What is the point given in the equation y-2= 3(x+1)?

Back

(-1,2)

Front

Write the equation in point-slope form of the line that passes through the point (4, -7) with slope m = -1/4.

Back

y +7 = -1/4(x - 4)

Front

What is the slope in the equation y-1 = 4(x+2)?

Back

4

Front

For the equation y - 3 = 2(x + 4), which point does the line pass through?

Back

The line has m = 2 passing through the point (-4, 3)

Front

Write the equation in point-slope form of the line that passes through the point (-2, -1) with slope m= -3.

Back

y + 1 = -3(x + 2)

Front

What is the general form of the point-slope equation?

Back

y - y1 = m(x - x1) where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert point-slope form to slope-intercept form?

Back

Isolate y to get y = mx + b.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

The line is vertical.