5. Please write the equation of a line in y=mx+b format. Find the SLOPE first then find the Y-INTERCEPT (b) Your answer

Question

asked Jan 10, 2021 1.8k views

1 Answer

Matthew Kruskamp · Answer 1 · 2021-01-17T12:10:53+0000

Answer:

y =
(5)/(3)x-1

Explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Slope of a line passing through two points
(x_1,y_1) and
(x_2,y_2) is,

m =
(y_2-y_1)/(x_2-x_1)

From the graph attached,

Since, the given line passes through (0, -1) and (3, 4),

Slope 'm' =
(4+1)/(3-0)

m =
(5)/(3)

y - intercept 'b' = -1

Therefore, equation of the line will be,

y =
(5)/(3)x-1