Question

PLSSSSSSSSSS URGENT I NEED HELP!!!

The diagram shows the graph of y = ax + b. Find the values of a and b *

Answer 1

The values of a and b are:

• a = 2

• b = 2

Explanation:

We know that the slope-intercept form of the line equation

y = ax+b

where

• a is the slope

• b is the y-intercept

From the diagram of the line graph, we can fetch the two points

• (0, 2)

• (-1, 0)

Determining the slope between (0, 2) and (-1, 0)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)`

`a=(0-2)/(-1-0)`

`a=2`

Thus, the value of a = 2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting a = 2 and b = 2 in the slope-intercept form of the line equation

y = ax+b

y = 2x + 2 ∵ a = 2 , b = 2

Thus, the line of equation is:

y = 2x+2

now comparing with y = ax+b

Here:

a = 2

b = 2

Therefore, the values of a and b are:

• a = 2

• b = 2