Writing Slope Intercept Form from Graph

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from a graph?

Back

The slope is the rise over run, calculated as the change in y divided by the change in x between two points on the line.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

If a line has a slope of 4, what does this indicate about the line's steepness?

Back

A slope of 4 indicates that for every 1 unit increase in x, y increases by 4 units, making the line steep.

Front

What is the slope of the line represented by the equation y = -1x + 3?

Back

The slope is -1.

Front

How can you convert a graph into slope-intercept form?

Back

Identify the slope and y-intercept from the graph, then write the equation as y = mx + b.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 5?

Back

The equation is y = 2x + 5.

Front

How do you determine the equation of a line given two points?

Back

Use the formula for slope (m = (y2 - y1) / (x2 - x1)) to find the slope, then use one point to solve for b in y = mx + b.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

If a line is horizontal, what is its slope?

Back

The slope of a horizontal line is 0.