Plot y = -2x + 6 using a value table. Identify intercept and slope from y = 0.5x - 4

Mathematics
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 y=mx+cy = mx + c, where mm is the slope (gradient) and cc is the y-intercept.

Step 2: Compare the given equation with the slope-intercept form. The given equation is y=0.5x4y = 0.5x - 4. By comparing this to y=mx+cy = mx + c: The slope mm is the coefficient of xx. The y-intercept cc is the constant term.

Step 3: Identify the slope and y-intercept. From y=0.5x4y = 0.5x - 4, we have: Slope (mm) = 0.50.5 Y-intercept (cc) = 4-4

The slope is 0.5\boxed{0.5} and the y-intercept is 4\boxed{-4}.

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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.

Plot y = -2x + 6 using a value table. Identify intercept and slope from y = 0.5x - 4
Mathematics

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.

ScanSolve AI Answer
Step 1: 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. Step 2: Compare the given equation with the slope-intercept form. The given equation is y = 0.5x - 4. By comparing this to y = mx + c: The slope m is the coefficient of x. The y-intercept c is the constant term. Step 3: Identify the slope and y-intercept. From y = 0.5x - 4, we have: Slope (m) = 0.5 Y-intercept (c) = -4 The slope is 0.5 and the y-intercept is -4. What's next?