what is the equation of a line in slope intercept form?

Question

a slope of 2 and a point at (-4,6)

Answer 1

Hi Zeekara S

y = 2x + 14

Slope Intercept Form is

y= mx + b, where m = slope

You are given a slope of 2

m = 2

y= 2x + b

Use the coordinates of the point to solve for b

6 = -4(2) + b

6 = -8 + b

6 + 8 = b

14 = b

y = 2x + 14

You can graph this at Desmos.com to check that it passes through (-4,6), hope this helps.

Answer 2

You can always rely on this formula to find the equation of a line:

y = mx + b

where m is the slope of the line, and b is the y-intercept of the line! The y-intercept is where the line crosses the y-axis.

So, how do we find b? We use the point (-4,6), by plugging it into the equation we can solve for the y-intercept!

6 = 2(-4)+b

6 = -8 + b

14 = b

So the equation of the line in slope intercept form is:

y = 2x + 14

And you can always check your solution by plugging the point you used back into the equation you made!

y = 2(-4) + 14

y = 6

Hope this helps! If you need more assistance, please consider booking a session with me!