12.10.4 Test (CST): Income and Budgeting

Question 12 of 25

What is the y-intercept of the line passing through the point 5.-6) with a

slope of – 1/7?

A.47/7

B.37/7

C.-37/7

D.-47/7

Question 12 of 25

What is the y-intercept of the line passing through the point 5.-6) with a

slope of – 1/7?

A.47/7

B.37/7

C.-37/7

D.-47/7

Answer:

C.-37/7

Step-by-step explanation:

Given the following data;

Points (x, y) = (5, -6)

Slope, m = -1/7

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the y-intercept of the line, we would use the following formula;

y – y1 = m(x – x1)

y – (-6) = -⅐(x – 5)

y + 6 = -⅐x + 5/7

y = -⅐x + (5/7 – 6)

y = -⅐x – 37/7 = mx + c

Therefore, y-intercept (c) = -37/7