\( \mid \leftarrow \quad \) Find an equation for the line with the given properties. Express the equation in slope-intercept form.
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To find the equation of a line in slope-intercept form \( y = mx + b \), start by identifying the slope \( m \) and the y-intercept \( b \). If the problem provides a slope (say 2) and a point (for instance, (3, 5)), you can use the point to find \( b \) by plugging in the values into the equation. From there, rearrange to solve for \( b \), then write the equation as \( y = 2x - 1 \). A common mistake when working with line equations is to confuse the slope and y-intercept, or to incorrectly apply the point-slope form \( y - y_1 = m(x - x_1) \) without converting it to slope-intercept form. Always double-check your calculations!