Question

(1,4) (3,10) what’s the slope, y-intercept and standard form [y=my+b]

Answer 1

Hey there! :)

Given the coordinates (1, 4) & (3, 10), we must find the slope, y-intercept, and standard form.

Keep in mind that in order to find the slope, we must use the slope formula, which is :
`m = \frac{y_{2-y_(1) } }{x_(2)-x_(1)  }`

(1, 4) is our first set of coordinates while (3, 10) is our second set. Meaning that for 1 = x1, 4 = y1 while 3=x2, 10 = y2

Using this information, simply plug into our slope formula.

m = (10-4) / (3-1)

Simplify/

m = 6/2 --> 3

Therefore, our slope is 3.

Now, use the point-slope form to figure out what the y-intercept is.

y - y1 = m(x - x1)

Plug in using the above coordinates and our slope, which is 3.

y - 4 = 3(x - 1)

Simplify!

y - 4 = 3x - 3

Add 4 to both sides.

y = 3x + 1

This means that 1 is our y-intercept.

This is also our equation in standard form.

Hope this helped! :)