Question

a line passes through the point (8, 3) and has a slope of 3/2. Write an equation in slope-intercept form for this line

Answer 1

The equation of the line will be equal to y = ( 3 / 2 ) x - 12.

What is an equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

The equation of a line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

It is given that a line passes through the point (8, 3) and has a slope of 3/2.

The equation of the line will be written as:-

y = mx + c

y = ( 3 / 2)x + c

Put the value of x = 8 and y = 3 in the equation.

3 = ( 3 / 2) x 8 + c

3 = 12 + c

c = -9

The equation will be,

y = mx + c

y = ( 3 / 2 ) x - 12

Therefore, the equation of the line will be equal to y = ( 3 / 2 ) x - 12.

More about the equation of line link is given below.

brainly.com/question/21511618

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