Question

What is the slope-intercept equation of the line below?

O A. y=-2x-1
B. y = -2x + 1
C. y=2x-1
D. y = 2x + 1
-5
5
-5-
5

Answer 1

An equation in slope-intercept form that represents the relationship shown on the graph is: B. y = -2x + 1.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

`y - y_1 = m(x - x_1)`

Where:

• x and y represent the data points.
• m represent the slope.

First of all, we would determine the slope for this table by using these points (-1, 1) and (0, -1);

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

Slope (m) = (-1 - 1)/(0 + 1)

Slope (m) = -2

At data point (0, -1) and a slope of -2, an equation for this line can be calculated by using the point-slope form as follows:

`y - y_1 = m(x - x_1)`

y + 1 = -2(x - 1)

y = -2x + 2 - 1

y = -2x + 1

Complete Question;

What is the slope-intercept equation of the line below?

O A. y=-2x-1

B. y = -2x + 1

C. y=2x-1

D. y = 2x + 1