Question

Identify Structure Draw a line connecting the form of the equation to the correct equations. Slope-Intercept Form 5x+3y=12 y=2x-8 Standard Form y-8=(1)/(2)(x-9) Point Slope form 4x-6y=24 y=10-3x

Answer 1

The slope-intercept form of the equation is y = mx + b, the standard form is Ax + By = C, and the point-slope form is y - y1 = m(x - x1). The correct equations are y = 2x - 8, 5x + 3y = 12, and y - 8 = (1/2)(x - 9).

Step-by-step explanation:

The slope-intercept form of an equation is y = mx + b, where m represents the slope and b represents the y-intercept. In this form, the equation is written as y = 2x - 8.

The standard form of an equation is Ax + By = C, where A, B, and C are constants. In this form, the equation is written as 5x + 3y = 12.

The point-slope form of an equation is y - y1 = m(x - x1), where m represents the slope and (x1, y1) represents a point on the line. In this form, the equation is written as y - 8 = (1/2)(x - 9).

Based on the given equations, the correct pairs are:

1. Slope-Intercept Form: y = 2x - 8
2. Standard Form: 5x + 3y = 12
3. Point-Slope Form: y - 8 = (1/2)(x - 9)