Question

Write a equation dor each line in slope intercept form

Answer 1

y = (4x/3) - 1

Step-by-step explanation

The slope and y-intercept form of the equation of a straight line is given as

y = mx + b

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

b = y-intercept of the line.

For the slope of a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

`Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)`

For this question,

(x₁, y₁) and (x₂, y₂) are (0, -1) and (3, 3)

`\text{Slope = }(3-(-1))/(3-0)=(3+1)/(3)=(4)/(3)`

While the y-intercept is the point where the line crosses the y-axis.

b = y-intercept = -1

Recall

y = mx + b

m = (4/3)

b = -1

y = (4x/3) - 1

Hope this Helps!!!