What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph, slope of the line passing through (0, -1) and (3, 1),

m' =

m' =

m' =

To get the slope (m) of this line we will use the property of perpendicular lines,

m × m' = (-1)

m × = -1

m =

Equation of the perpendicular line will be,

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

0 =

b =

Equation of the line will be,

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