Answer:
D. b = 3
Step-by-step explanation:
Given the following data;
Points on x-axis (x1, x2) = 10, 12
Points on y-axis (y1, y2) = 23, 27
First of all, we would determine the slope.
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {27 - 23}{12 - 10} [/tex]
[tex] Slope, m = \frac {4}{2} [/tex]
Slope, m = 2
The equation of straight line is y = mx + b
Where;
m is the slope.
x and y are the points
b is the intercept.
To find the intercept, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 23 = 2(x - 10)
y - 23 = 2x - 20
y = 2x - 20 + 23
y = 2x + 3 = mx + b
Therefore, intercept, b = 3
