Find an equation for the line which passes through (-1,3) and is perpendicular to the line containing (0,3) and (4,7). the equation of the line is . (simplify your answer. type your answer in slope-intercept form.)

Equation of the line is y = -x + 4

Step-by-step explanation:

When the two lines having their slopes and are perpendicular to each other then

If is the slope of the line passing through two points (0, 3) and (4, 7) then

=

= 1

Now slope of the second line perpendicular to first line will be

=

= -1

Slope intercept form of the equation of a line is represented by

y = mx + c

where m = slope

c = y intercept

Since the line is passing through (-1, 3) and slope = -1, therefore,

3 = -1 + c

c = 4

Now we plug in these values in the equation.

y = -x + 4

Equation of the line is y = -x + 4

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step-by-step explanation:

. + λrh() e 1 1 2 4 4 4 4 4 3 4 4 4 4 4 + th−1(− s(x)2 dx ω + λrh−1() e 2 1 2 4 4

step-by-step explanation: