Question

1,3 -3,0 write an equation in point-slope form of the line that passes through the given points

Answer 1

y = 3/4x + 9/4

Explanation:

(1,3) and (-3,0)

to find the slope of the line we use the formula of finding the difference of the y-values over the difference of the x-values

slope ('m') =
`((3-0))/((1-(-3)))`

m = 3/4

now we can use the slope-intercept form of a line to find the y-intercept:

y = mx + b

'x' and 'y' are values from a given point, 'm' is the slope, and 'b' is the y-intercept

3 = 3/4(1) + b

3 - 3/4 = b

2 1/4 = b Always put slope in a/b form

9/4 = b