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
Question
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
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