Writing Linear Equations From Key Information

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Presentation transcript:

Writing Linear Equations From Key Information Lesson 18 Linear Equations Writing Linear Equations From Key Information

Warm-Up Graph each linear equation. Clearly mark at least three points on each line. y = −2x

Writing Linear Equations From Key Information Target: Write a linear equation in slope-intercept form when given information about the line.

Example 1 Write the equation of a line that has a slope of −2 and a y-intercept of 5. General Equation: y = mx + b Slope: m = −2 y-intercept: b = 5 Equation: y = −2x + 5

Writing a Linear Equation when Given Key Information Find the slope (m) of the line. Find the y-intercept (b) of the line. If necessary, substitute the slope for m and one ordered pair (x, y) for the corresponding variables in the equation y = mx + b. Solve for b. Write the equation in the form y = mx + b.

Example 2 Write the equation of a line that has a slope of and goes through the point (−3, 1). Write the equation with the slope: y = x + b Substitute (−3, 1) for x and y in the equation. Solve for b. 1 = (−3) + b 1 = −4 + b +4 +4 5 = b y-intercept = 5 Equation: y = x + 5

Exit Problems Write the equation of each line in slope-intercept form. slope = 4 y-intercept = −5 slope = goes through (2, 6) goes through (0, 4) and (−2, 8)

Communication Prompt How do you find the equation of a line when you are given two points the line passes through?