Get Slope Intercept Stars Answer Key

"Slope-Intercept Stars" encourages students who are new to slope-intercept form to explore how adjusting the slope and y-intercept in a linear function impacts the graph.

Slope-intercept form of a straight line is: y = mx + c, where m is the slope and c is y-intercept. Slope-intercept form is useful to graph a straight line.

Examples of Slope-Intercept Form Example 1: Given the slope of a line is 1/2, and it crosses the y-axis at (0, -3). Find the equation of the line. Answer: The equation of the line is y = x/2 – 3. Example 2: Find the equation using the horizontal line slope intercept formula that intersects the y-axis at (0, 8).

To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

In summary, if y = mx + b, then m is the slope and b is the y-intercept (i.e., the value of y when x = 0). Often linear equations are written in standard form with integer coefficients (Ax + By = C). Such relationships must be converted into slope-intercept form (y = mx + b) for easy use on the graphing calculator.

What is the Slope Intercept Form of a Line? The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers. The slope, m, represents the steepness of a line.

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b).