Slope Intercept Graphing

Front

What is the slope in the equation y=mx+b?

Back

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

Front

What does the y-intercept represent in the equation y=mx+b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

How do you identify the slope from the equation y=2x + 3?

Back

The slope is 2, which indicates that for every 1 unit increase in x, y increases by 2 units.

Front

Write the equation of a line with a slope of -1 and a y-intercept of 4.

Back

The equation is y=-x+4.

Front

What is the slope of the line represented by the equation y=-rac{3}{4}x+3?

Back

The slope is -\frac{3}{4}, indicating a decrease in y as x increases.

Front

How do you convert the slope-intercept form to standard form?

Back

Rearrange the equation y=mx+b to Ax+By=C, where A, B, and C are integers.

Front

What is the equation of a line with a slope of 2 and passing through the point (1, 3)?

Back

Using point-slope form: y-3=2(x-1) simplifies to y=2x+1.

Front

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

Back

A slope of 0 indicates a horizontal line.

Front

What is the equation of a line with a slope of -rac{1}{2} and a y-intercept of 2?

Back

The equation is y=-\frac{1}{2}x+2.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated as m=\frac{y2-y1}{x2-x1}.