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3 years ago

Write the equation in y=mx+b form please????

Mathematics

1 answer:

Solnce55 [7]3 years ago

6 0

ANSWER

$y = - 2x - 5$

EXPLANATION

We can use any two points to determine the slope.

The line passes through;

(-3,1) and (-5,5).

The slope is given by

$m = \frac{y_2-y_1}{x_2-x_1}$

This implies that;

$m = \frac{5 - 1}{ - 5 - - 3}$

$m = \frac{4}{ - 2} = - 2$

We can now find the equation using the formula;

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

$y - 1 = - 2(x + 3)$

Expand:

$y = - 2x -6 + 1$

$y = - 2x - 5$

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Question 6 of 10

klemol [59]

Answer:

The correct option is C.

Step-by-step explanation:

The quadratic parent function is

$f(x)=x^2$

The translation is defined as

$g(x)=k(x+a)^2+b$ .... (1)

Where, k is vertical stretch, a is horizontal shift and b is vertical shift.

If |k|>1, then graph of parent function stretch vertically by factor |k| and if 0<|k|<1, then parent function compressed vertically by factor |k|. Negative k represents the reflection across x axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The graph shift 1 unit right,vertically stretch by a factor of 5 , reflect over the x-axis. So, a=-1, |k|=5 and k=-5

Substitute a=-1 and k=5 in equation (1).

$g(x)=-5(x+(-1))^2+(0)$