Question

26. The graph of linear function fpasses through the point (1,-6) and has a slope of -2

Answer 1

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have according to the data:

$m = -2$

Thus, the equation is of the form:

$y = -2x + b$

We substitute the given point:

$(x, y) :( 1, -6)\\-6 = -2 (1) + b\\-6 = -2 + b\\-6 + 2 = b\\b = -4$

Finally, the equation is:

$y = -2x-4$

Answer:

$y = -2x-4$

Answer 2

Answer:

$y=-2x-4$

Step-by-step explanation:

step 1

Write the linear equation in point slope form

$y-y1=m(x-x1)$

we have

$m=-2\\(x1,y1)=(1,-6)$

substitute

$y+6=-2(x-1)$

step 2

Convert to slope intercept form

$y=mx+b$

we have

$y+6=-2(x-1)$

isolate the variable y

$y+6=-2x+2$

$y=-2x+2-6\\y=-2x-4$