Find an equation for the line with the given properties.
-Parallel to the line 9x + 8y = 23; containing the point (7, 1)
A) 9x + 8y = 71
B) 7x + 8y = 23
C) 8x + 9y = 1
D) 9x - 8y = 71

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope. The given line 9x + 8y = 23 can be rewritten in slope-intercept form to find its slope. However, for a line to be parallel to it, we only need to ensure the coefficients of x and y remain the same, i.e., 9 and 8, respectively. To find the specific line that passes through (7, 1), we substitute these values into the equation 9x + 8y = C and solve for C, which gives us 9(7) + 8(1) = 63 + 8 = 71. Therefore, the equation of the line is 9x + 8y = 71.

Find an Equation for the Line with the Given Properties