coordinate geometry – straight lines - The line l_1 has equation y = 3x + 2 and the line l_2 has equation 3x + 2 y – 8 = 0. (a) Find the gradient of the line l_2.

Krishna (last edited 4 years ago) (Expert, Educator @Qalaxia)

Step 1: Put the equation in the form y = mx (+c) and attempting to extract the m

NOTE: The slope-intercept form of a linear equation is

y = mx + b

where m is the slope and b is the y-intercept.

EXAMPLE 3x + 5y -2 =0

5y = -3x + 2

y = \frac{-3}{5}x + \frac{2}{5}

Step 2: Note down the value of slope and y-intercept by comparing the resultant equation with the y = mx + c.