Question

For the straight line defined by the points (2, 57) and (4, 91) , determine the slope and y-intercept. Do not round the answers.

Answer 1

The slope of the line is 17 and the y-intercept is 23.

Step-by-step explanation:

To determine the slope and y-intercept of a straight line defined by the points (2, 57) and (4, 91), we can use the formula:

`m = (y_2 - y_1)/(x_2 - x_1)`

to find the slope and then substitute one of the given points into the equation y = mx + b to find the y-intercept (b).

First, let's calculate the slope: m = (91 - 57)/(4 - 2) = 34/2 = 17.

Next, we substitute one point into the equation: 57 = 17*2 + b. Solving for b, we have: b = 57 - 34 = 23.

Therefore, the slope of the line is 17 and the y-intercept is 23.

Answer 2

The slope :
m = (91 - 57 ) / ( 4 - 2 ) = 34 / 2 = 17
The line: y = m x + b
57 = 2 · 17 + b
57 = 34 + b
b = 57 - 34 = 23
Answer: the slope is 17 and y-intercept is 23.