Solving Linear Equations in Slope-Intercept Form
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 + 15
2. Add 1 to both sides to isolate y:
y = -3x + 15 + 1
y = -3x + 16
Now the equation is in slope-intercept form y = -3x + 16, where the slope (m) is -3 and the y-intercept (b) is 16.
