Write the equation of the line through the points (-3,3) and (7,5) in slope-intercept form. what is the y-intercept

y = 0.2x + 3.6

Step-by-step explanation:

3 + 7 = 10

2 / 10 = 0.2

y = 0.2x + ___

0 - (-3) = 3

3 * 0.2 = 0.6

3 + 0.6 = 3.6

y = 0.2x + 3.6

The equation of the line is y = 1/5x + 18/5, which means the intercept is 18/5.

Step-by-step explanation:

In order to find this, we need to start by finding the slope. To do that, we need to use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - 3)/(7 - -3)

m = (5 - 3)/(7 + 3)

m = 2/10

m = 1/5

Now that we have the slope, we can use either point and the slope in slope intercept form to find the intercept.

y = mx + b

3 = 1/5(-3) + b

3 = -3/5 + b

18/5 = b

(3x-8) or (3x+8)

step-by-step explanation: