Subjects algebra

Line Equation Eaa758

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1. **State the problem:** We need to find the equation of a straight line given its y-intercept and gradient. 2. **Recall the formula:** The equation of a straight line in slope-intercept form is $$y = mx + c$$ where: - $m$ is the gradient (slope) of the line - $c$ is the y-intercept (the value of $y$ when $x=0$) 3. **Identify the given values:** - Gradient $m = 16$ - Y-intercept $c = 2$ 4. **Substitute the values into the formula:** $$y = 16x + 2$$ 5. **Interpretation:** This means for every 1 unit increase in $x$, $y$ increases by 16 units, and the line crosses the y-axis at 2. **Final answer:** $$y = 16x + 2$$