Question - Solving Linear Equations in Slope-Intercept Form
Solution:
The equation in the image is a linear equation in slope-intercept form, which is generally expressed as y = mx + b, where m is the slope and b is the y-intercept. To solve the equation y - 1 = -3(x - 5), we will simplify and put it in slope-intercept form.Here are the steps:1. Distribute -3 into the parentheses: y - 1 = -3 * x + 3 * 5 y - 1 = -3x + 152. Add 1 to both sides to isolate y: y = -3x + 15 + 1 y = -3x + 16Now the equation is in slope-intercept form y = -3x + 16, where the slope (m) is -3 and the y-intercept (b) is 16.
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