Converting from Point Slope to Slope Intercept

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 convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What does 'm' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line.

Front

What does 'b' represent in the slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

Convert the equation y + 9 = 3(x - 1) to slope-intercept form.

Back

y = 3x - 12.

Front

What is the y-intercept of the equation y - 6 = -2(x + 5)?

Back

The y-intercept is -4.

Front

What is the slope of the line given by the equation y - 2 = 4(x - 1)?

Back

The slope is 4.

Front

Convert the equation y - 2 = -4(x - 3) to slope-intercept form.

Back

y = -4x + 14.

Front

What is the general process to find the slope from a linear equation?

Back

To find the slope, rearrange the equation into slope-intercept form (y = mx + b) and identify 'm'.

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line steep.