Question

I WILL GIVE BRAINLIEST TI RIGHT ANSWER write an equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4)

Answer 1

Answer:

An equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4) is: $\mathbf{y=-6x+8}$

Step-by-step explanation:

We need to  write an equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4)

The equation in slope-intercept form is : $y=mx+b$ where m is slope and b is y-intercept.

We need to find slope and y-intercept for our equation.

In the question, we are given slope m = -6

Now, we need to find y-intercept.

Using slope m = -6 and the point (2,-4) we can find y-intercept

$y=mx+b\\-4=-6(2)+b\\-4=-12+b\\b=12-4\\b=8$

So, we get y-intercept : b = 8

Now, the equation of line having slope m = -6 and y-intercept : b = 8 in slope-intercept form will be:

$y=mx+b\\y=-6x+8$

An equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4) is: $\mathbf{y=-6x+8}$