Question

The equation of the straight line passes through the point (0,2) and has a gradient of 1/3 is????

Answer 1

Explanation

• Slope-Intercept

$y = mx + b \\ m = slope /gradient \\b = y - intercept$

Substitute m = 1/3 in the equation.

$y = \frac{1}{3} x + b$

• Substitute the given coordinate point then solve the equation for b-term.

$(x,y) = (0,2)$

$2 = \frac{1}{3} (0) + b \\ 2 = 0 + b \\ 2 = b$

• Rewrite the equation by substituting the b-value.

$y = \frac{1}{3} x + 2$

Answer

$\large \boxed{y = \frac{1}{3} x + 2}$

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