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A line has a slope of 9 and a y-intercept of 2. What is its equation in slope-intercept form?
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There two forms to write an equation in; slope-intercept form, <em /><em>y</em> = <em>mx</em> + <em>b</em>, where <em>m</em> is the slope and <em>b</em> is the <em>y</em>-intercept; and point-slope form, which is given by 
, where <em>m</em> is the slope and (<em>x</em>₁, <em>y</em>₁) is a point on the line. Given the information and instructions you have I assume you need point-slope form. For #1, you have <em /><em>m</em> = 2 and point (3, 5). Substitute these values in:
If you need slope-intercept form, you start by using the distributive property on what you just wrote:
Now cancel the 5 to isolate <em>y</em>:
If you need slope-intercept form, you start by using the distributive property on what you just wrote:
Now cancel the 5 to isolate <em>y</em>:
