Question

What is the equation of the line in slope-intercept form?

Answer 1

Answer:y = 3x/4 + 4

Step-by-step explanation:

The equation of a line in the slope-intercept form is represented by

y = mx + c

Where c = y-intercept

Slope, m = change in the value of y on the vertical axis / change in the value of x in the horizontal axis.

change in the value if y is y2 -y1 and change in the value of x is x2 - x1

Where

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 4

y1=0

x2=0

x1 = -3

we can determine the slope.

Slope, m = (4-0) / (0- -3)

= 4/3

Let us pick points (0,4) to determine the intercept

Substituting x = 0 , y = 4 and m = 4/3 into the slope-intercept equation,

y = mx + c

4 = 3/4×0 + c

c = 4

Equation of the line in slope-intercept form is

y = 3x/4 + 4