What is the Equation? 1. Write the equation for the line that passes through (-5, -4) and (3, 12). Step 1. Label the ordered pairs. (x1, y1) and (x2, yz) Calculate the slope. m = 2 yi_()- 2 = X2 - X1 ( )( ) Step 2. Now, you know m =. Choose one of the ordered pairs (either one will work) ... (x, _") You need a SLOPE and a POINT to write Insert the m, x, and y in the slope intercept equation, _v = (m )( x ) + b an equation Solve for b. Step 3. Now, use the y-intercept ("b") and the slope ("m") and write the equation. y = ( m )x+b 2. Write the equation for the line on the graph. (Hint: Start by reading 2 points off the graph and then do the same steps as in Problem #1) 30 25 20 10 -3-4-3 -2-19 234 -51 15 -20 3. Write the equation of the line that goes through the point (6, 5) and is perpendicular to the line y = 3x + 8. Parallel lines have the same slopes. Perpendicular lines have opposite and reciprocal slopes. What is the slope of y = 3x + 8? (Hint: You can write the slope as a fraction by putting it over "1") m= Since your line is perpendicular to y = 3x + 8, your slope has the opposite sign and reciprocal (flip the fraction) slope. Myour line = Use your slope and the given point to solve for "b" and write the equation. (See steps 2 and 3 of Problem #1)Parallel lines have the same slopes. Perpendicular lines have opposite and reciprocal slopes. Don't take my word for it. Prove it to yourself. Graph the lines y = 3x + 2 and y = = =x Graph the lines y = -4x +1 and y = -4x -3 What are the slopes of the lines? and What are the slopes of the lines? and Are the lines perpendicular (90* apart)? Are the lines parallel (they will never intersect)? Use a protractor to verify the angle. What is the slope of the given line? What is the slope of the given line? What is the slope of a perpendicular line? What is the slope of a parallel line? Draw a perpendicular line that has a y-intercept of -5. Draw a parallel line that has a y-intercept of -4. Write the equations of both lines. Write the equations of both lines.Equations of Lines Worksheet 1) Find the equation of the line passing through (2,9) and (9, 21). Write the answer in slope-intercept form. 2) Find the equation of the line passing through (-3, 8) and (4,2). Write the answer in slope-intercept form. ") Find the equation of the line passing through (5.7) and (5.21). write the answer in slope-intercept form. 4) Find the equation of the line passing through (2,9) and (2,3).5) Consider the line 2x + 3y = 12 a) Find the x-intercept b) Find the y-intercept c) Find the slope d) Sketch the graph 6) Find the equation of the vertical line passing through (2,5). 7) Find the equation of the horizontal line passing through (2,5). B) Find the equation of the line parallel to 1 = -4x + 6 passing through (3, -7).9) Find the equation of the line perpendicular to # = 5x - 1 passing through (2, -4). 10) Find the equation of the line parallel to 1/ = 6x + 10 passing through (-3,9). 9+25 11) Find the equation of the line perpendicular to 1 = passing through (5, -2)