Write the standard form of the equation of the line passing through the point (1, 5) and perpendicular to the line
-3x - 4y = 4.

y=4/3x+3.75

Step-by-step explanation:

rearrange:4y=-3x-4

simplify(divide by 4 to get y on its own): y=-3/4x-1

However we need to find the gradient parallel to this line so we find the negative reciprocal: y=4/3x-1

Now we have the gradient we incert the y and x values from (1,5): 5=(4/3)x1+c

To find c we divide by. 4/3: 5÷4/3 = 3.75

so y=4/3x+3.75

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

hope this !