Write the equation and graph the line that passes through the given point and has the slope indicated.
with slope
A)
C)

Question

Write the equation and graph the line that passes through the given point and has the slope indicated. ​
​  with slope  ​
A) ​ 
C) ​

Quizplus · Accepted Answer

The point-slope form of a linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point. Plugging in the values, we get y - 11eb0d3b_978b_91ec_9790_43ec5db3c536_TB1243_11 = 11eb0d3b_978b_b900_9790_b131ed531948_TB1243_11(x - 11eb0d3b_978b_91ef_9790_07bcff57fec8_TB1243_00). Simplifying, we get y = 11eb0d3b_978b_b900_9790_b131ed531948_TB1243_11x + 11eb0d3b_978b_91e4_9790_37f58fd25dc4_TB1243_11. Therefore, the equation of the line that passes through the given point and has the slope indicated is y = 11eb0d3b_978b_b900_9790_b131ed531948_TB1243_11x + 11eb0d3b_978b_91e4_9790_37f58fd25dc4_TB1243_11. Its graph is a straight line with a slope of 11eb0d3b_978b_b900_9790_b131ed531948_TB1243_11 passing through the given point. Choice B has the correct equation of the line.

Write the Equation and Graph the Line That Passes Through