Question

Give the slope of y - 3 = 4 ( x + 8 ) and a point on the line.

Answer 1

Answer:

Slope of the line is 4 and the point on the line is (-8,3)

Step-by-step explanation:

The equation of the line is given by $y-3=4(x+8)$

The point slope form of a line is

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

Here, m is the slope of the line

And the point $(x_1,y_1)$ lies on the line.

On comparing the given equation with the point slope form of the line

$m=4,x_1=-8,y_1=3$

Therefore, the slope is 4 and the point on the line is (-8,3)

Answer 2

The slope of the equation is 4, and a point on the line is (0,35)

The equation is given as:

$y - 3 = 4(x + 8)$

Open the bracket

$y - 3 = 4x + 32$

Add 3 to both sides

$y = 4x + 35$

A linear equation is represented as:

y = mx + b

Where m represents the slope

So, by comparison:

The slope of the equation is 4

Set x = 0

y  = 4 * 0 + 35

y = 35

Hence, a point on the line is (0,35)

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