coordinate geometry – straight lines - The line l_1 passes through the point A (2, 5) and has gradient - \frac{1}{2}. (a) Find an equation of l_1, giving your answer in the form y = mx + c.

Krishna (last edited 3 years ago) (Expert, Educator @Qalaxia)

Step 1: Note down the given values

Step 2: Substitute these values in the point-slope formula

FORMULA: Equation of a straight line

y - y_1 = m(x - x_1). Where m = slope, (x_1, y_1) = any point

EXAMPLE: I took (2, 0) as a point and m = \frac{4}{5}

y - 0 = \frac{4}{5} ( x - 2)

5y = 4x - 8

Step 3: Simplify further