Question

Find an equation of a line parallel to the line y = 1/2x-3that contains the point (6,4).

Write the equation in slope-intercept form.

Answer 1

#First find the gradient first, remember that the formula of equation of the line is y = mx + c and gradient's symbol is m

y = ½x - 3

#so the gradient is ½, now u can find the equation of the lime.

y - y1 = m(x - x1)

y - 4 = ½(x - 6)

y - 4 = ½x - 3

y = ½x - 3 + 4

y = ½x + 1

Answer : y = ½x + 1