QuestionAugust 24, 2025

Create a linear equation using point-slope form for the following: 7. m=4 and (2,3) 8. m=0 and (0,2)

Create a linear equation using point-slope form for the following: 7. m=4 and (2,3) 8. m=0 and (0,2)
Create a linear equation using point-slope form for the following:
7. m=4 and (2,3)
8. m=0 and (0,2)

Solution
4.7(213 votes)

Answer

y - 3 = 4(x - 2); y = 2 Explanation 1. Use Point-Slope Formula for First Equation The point-slope form is **y - y_1 = m(x - x_1)**. For m=4 and point (2,3), substitute into the formula: y - 3 = 4(x - 2). 2. Use Point-Slope Formula for Second Equation For m=0 and point (0,2), substitute into the formula: y - 2 = 0(x - 0). Simplifies to y = 2.

Explanation

1. Use Point-Slope Formula for First Equation<br /> The point-slope form is **$y - y_1 = m(x - x_1)$**. For $m=4$ and point $(2,3)$, substitute into the formula: $y - 3 = 4(x - 2)$.<br /><br />2. Use Point-Slope Formula for Second Equation<br /> For $m=0$ and point $(0,2)$, substitute into the formula: $y - 2 = 0(x - 0)$. Simplifies to $y = 2$.
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