MATH 1201 UNIT 3 MILESTONE 3 V1

MATH 1201 UNIT 3 MILESTONE 3 V1 The form is called slope-intercept form. To identify the equation of this graph in slope-intercept form, we need to identify two parts to the line: its slope, noted by the variable ; and its y-intercept, noted by the variable . Let's start by finding the y-intercept. We can easily identify the y-intercept by examining when the line crosses the y-axis. This occurs at so this means that is the variable in the equation. Now that we have the y-intercept, we can find the slope, . We need to calculate the rise over run between two points on the graph. First, let's identify two points. We can use the y-intercept at and another point on the line, . To find the slope, use the slope formula which states that the slope is the difference in values divided by the difference in values. Once we have the points plugged into the formula, we can evaluate both the numerator and denominator. In the numerator, minus is . In the denominator, minus is . The slope of the line is . We can put both parts together to find the full equation. The y-intercept is at and the slope is , so the equation of the line is . CONCEPT Writing an Equation from a Graph 2 Consider the following table. 2/22/2021 Sophia :: Welcome Which graph corresponds to this table? 2/22/2021 Sophia :: Welcome RATIONALE When given a table of points, we can match the and values with the coordinate points on the graph. Remember, the value indicates the distance the point moves left (negative) or right (positive) from the origin, . The value indicates the distance the point moves up (positive) or down (negative) from the origin.