Question

find the slope intercept form of the line whose slope is 2 and that passes through the point (-6,7)

Answer 1

Slope =2

Point (-6,7)

We need to find "b" using equation of line y=mx+b with information given.

Y=mx+b ; m=2 , from point (-6,7) y= 7,x=-6

7=2(-6)+b

Multiply right side 2(-6)

7= -12+b

Add 12 both sides

7+12=b

Solve for b

19=b

Now put all together to make equation

Y=2x+19

Answer 2

The slope intercept form is given by the formula
$y = mx + c$
where m is the slope and c is the y-intercept

Substituting the slope, we have,
$y = 2x + c$



Since (-6,7) lies on this line, it must satisfy its equation, that is

$7 = 2( - 6) + c$
$7 = - 12 + c$
$7 + 12 = c$
$c = 19$
Let us substitute c back into the equation to obtain,

$y = 2x + 19$
This is the equation in slope intercept form. I hope this is helpful?