Question

What is the equation of the line that passes through the point (2-,5) and a slope of -6???

Answer 1

`\displaystyle 6x + y = -7\:or\:y = -6x - 7`

Step-by-step explanation:

Plug the information into the Slope-Intercept Formula:

`\displaystyle 5 = -6[-2] + b \hookrightarrow 5 = 12 + b; -7 = b \\ \\ y = -6x - 7`

Suppose you need to write this equation in standard form. You would follow these procedures:

y = −6x - 7

+ 6x + 6x

__________

`\displaystyle 6x + y = -7`

I am joyous to assist you at any time.

Answer 2

y = -6x - 7

Explanation:

We already know the slope so all we need to do is find th y-intercept. We can do this by using slope-intercept form and substituting the values we are given.

y = mx + b

5 = -6(-2) + b

5 = 12 + b

-7 = b

Put everything we know back into the formula.

y = -6x - 7

Best of luck!