I need to find the linear equation if...? (i got it better)?

Question

in one, x is 17 and y is 22.05 and on the other, x=16 and y is 52.95

Answer 1

You have two points on a line (17, 22.05) and (16, 52.95)

The slope is (22.05 - 52.95) / (17 - 16) = -30.9

y-intercept is then: (-30.9 * -17) + 22.05 = 547.35
or (-30.9 * -16) + 52.95 = 547.35

using slope-intercept form of y = mx + b

the linear equation would be

y = -30.9 x + 547.35

Answer 2

You have two points.

I will call them Point A and B. Okay?

Point A (17, 22.05)

Point B (16, 52.95)

Graph these 2 points on the xy-plane. You will see a straight line. The word linear comes from the word LINE. A linear equation is a straight line.

After graphing the two given points, you will be able to find your linear equation.

Guido

Answer 3

First find slope:

(52.95-22.05)/(16-17) = 30.9/-1 = -30.9

Now use point slope form : y-y1 = m(x-x1) with m = slope = 30.9 and x1 and y1 as one of your points. using (17,22.05)

so y-22.05 =-30.9(x-17)
distribute -30.9
y-22.05 = -30.9x + 525.3

add 22.05 to both sides and you have an equation in slope intercept form:

y = -30.9x+547.35

Hope it helps

Answer 4

y-y1 = ((y2-y1)/(x2-x1))*(x-x1)
y-22.05 = (22.05-52.95)(x-17)/(17-16)