This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
Plot y = -2x + 6 using a value table. Identify intercept and slope from y = 0.5x - 4

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Answer
0.5
Step 1: Recall the slope-intercept form of a linear equation. The slope-intercept form is , where is the slope (gradient) and is the y-intercept.
Step 2: Compare the given equation with the slope-intercept form. The given equation is . By comparing this to : The slope is the coefficient of . The y-intercept is the constant term.
Step 3: Identify the slope and y-intercept. From , we have: Slope () = Y-intercept () =
The slope is and the y-intercept is .
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Recall the slope-intercept form of a linear equation. The slope-intercept form is y = mx + c, where m is the slope (gradient) and c is the y-intercept.