Question

What is the equation in point slope form for a linear function with a slope of m=−4 that passes through the point (2,−7)?

Answer 1

Answer: y+7=-4(x-2)

Step-by-step explanation:

point slope formula is y-y1=m(x-x1)

it gives you m = -4

(x1,y1) = (-1,-7)

y-(-7) = -4(x-2)

negative of a negative number is positive

y+7=-4(x-2)

you leave that as your answer because thats  what point slope for is

its in that form ^  

Answer 2

The equation in point slope form for a linear function is $y=4x+15$

Given the following points:

• Points on the x-axis = 2

• Points on the y-axis = -7

• Slope, m = -4

To write an equation in point slope form for a linear function:

The standard form of an equation of line is given by the formula;

$y-y_1=m(x-x_1)$

Where:

• x and y are the points.

• m is the slope.

Substituting the given parameters into the formula, we have;

$y-(-7)=-4(x-2)\\\\y+7=4x-8\\\\y=4x-8+7\\\\y=4x+15$

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