Question

Write the equation of the line that passes at the point (-5,7) with the slope m = -2 in slope intercept form

Answer 1

`\huge\boxed{\sf y = -2x - 3}`

Explanation:

Given data:

m = -2

Slope-intercept form:

y = mx + c

Given co-ordinate:

(x,y) = (-5,7)

So, x = -5, y = 7

Finding c:

To find c, Put the values of x, y and m in the slope-intercept form.

7 = (-2)(-5) + c

7 = 10 + c

7 - 10 = c

-3 = c

c = -3

Now, put the values of m and c in the slope intercept form.

Slope-intercept form:

y = -2x - 3

`\rule[225]{225}{2}`