Question

lesson 13: the cartesian plane

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

1. \\(3x + 2y = 14\\)

1. \\(15x - 10y = 10\\)

1. \\(y = \frac{1}{3}x + 4\\)

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 and y-intercept knowledge points

$$
LATEXBLOCK1
$$

Convert Equation 6 to slope-intercept form

Using the Standard Form to Slope-Intercept Form knowledge point

$$
LATEXBLOCK2
$$

Identify slope and y-intercept for Equation 6

Using the Slope-Intercept Form and y-intercept knowledge points

$$
LATEXBLOCK3
$$

Identify slope and y-intercept for Equation 7

Using the Slope-Intercept Form and y-intercept knowledge points

$$
LATEXBLOCK4
$$

Answer:

Question 5

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

Question 6

• Slope (\(m\)): \(\frac{3}{2}\)
• y-intercept (\(b\)): \(-1\) (or the point \((0, -1)\))

Question 7

• Slope (\(m\)): \(\frac{1}{3}\)
• y-intercept (\(b\)): \(4\) (or the point \((0, 4)\))