Question

find the slope and the y-intercept of each of the following linear equations.

1. \\(3x + 2y = 14\\)
2. \\(x = 4y - 16\\)
3. \\(-3x + 2y = 18\\)

Explanation:

Convert Equation 5 to slope-intercept form

Using the Standard Form to Slope-Intercept Form knowledge point

$$
LATEXBLOCK0
$$

Identify slope and y-intercept for Equation 5

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK1
$$

Convert Equation 8 to slope-intercept form

Using the Standard Form to Slope-Intercept Form knowledge point

$$
LATEXBLOCK2
$$

Identify slope and y-intercept for Equation 8

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK3
$$

Convert Equation 9 to slope-intercept form and identify parameters

Using the Standard Form to Slope-Intercept Form and Slope-Intercept Form knowledge points

$$
LATEXBLOCK4
$$

Answer:

Question 5

• Slope: \(-\frac{3}{2}\)
• y-intercept: \(7\) (or the point \((0, 7)\))

Question 8

• Slope: \(\frac{1}{4}\)
• y-intercept: \(4\) (or the point \((0, 4)\))

Question 9

• Slope: \(\frac{3}{2}\)
• y-intercept: \(9\) (or the point \((0, 9)\))