Work out the values of a and b in the following identity

Mathematics

1 answer:

jeka57 [31]4 years ago

7 0

Answer:

a = - 2 and b = - 3

Step-by-step explanation:

Distribute the parenthesis on the left side then compare like terms on both sides.

4(3x - 6) - 7(2x + b)

= 12x - 24 - 14x - 7b

= - 2x - 24 - 7b

Compare to right side ax - 3

For the 2 sides to be equal then

- 2x = ax ⇒ a = - 2

and

- 24 - 7b = - 3 ( add 24 to both sides )

- 7b = 21 ( divide both sides by - 7 )

b = - 3

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What is the slope intercept form of the equation of the line shown below

omeli [17]

Answer:

$y=\frac{4}{3}x-4$

Step-by-step explanation:

----------------------------------------

The slope-intercept form formula is: $y=mx+b$

The $m$ stands for the slope and the $b$ stands for the y-intercept.

By looking at the graph, I can figure out that the y-intercept is -4 because y-intercept is where the lines cross the y-axis and in this graph, the line crosses the y-axis at (0,-4).

The slope is $\frac{4}{3}$ because to get to the ordered pair (3,0), from (0,-4), you would have to go up 4 and over 3 to the right so it's $\frac{4}{3}$