Question

Write the slope-intercept form of the equation of the line

Answer 1

The slope-intercept form of the equation of the line described is y = 3/4x - 4.

What is a slope?

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

How to calculate the slope of a line?

Mathematically, the slope of a straight line can be calculated by using this formula;

$Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}$

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

• x and y are the points.
• m is the slope.
• c is the intercept.

The partial equation for the perpendicular line is given by:

y = 3/4x + c

At point (8, 2), we have:

2 = 3/4(8) + c

2 = 6 + c

c = 2 - 6

c = -4.

Therefore, the slope-intercept form of the equation of the line described is y = 3/4x - 4.

Read more on slope-intercept form here: brainly.com/question/1884491

#SPJ1