Question

you will have 10 minutes to complete the independent practice

1. which of the following gives the slope - intercept form of (-3x + 7y = 10)?

a. (y=\frac{3}{7}x+\frac{10}{7})
b. (y=\frac{7}{3}x+\frac{10}{7})
c. (y=\frac{3}{7}x+\frac{7}{10})
d. (y=\frac{7}{3}x+\frac{7}{10})

1. given that a lines equation is (2y + 9=-5x - 1), what is its slope?

a. (-5)
b. (-\frac{5}{2})
c. (\frac{3}{2})
d. (5)

Explanation:

Step1: Isolate the y-term (Q1)

$7y = 3x + 10$

Step2: Solve for y (Q1)

$y = \frac{3}{7}x + \frac{10}{7}$

Step3: Isolate the y-term (Q2)

$2y = -5x - 10$

Step4: Solve for y (Q2)

$y = -\frac{5}{2}x - 5$

Step5: Identify slope (Q2)

Slope is the coefficient of $x$

Answer:

1. A. $y = \frac{3}{7}x + \frac{10}{7}$
2. B. $-\frac{5}{2}$