Question

A line passes through the point (-8,9) and has a slope of 5/4.

Write an equation in slope-intercept form for this line.

Answer 1

Answer:

The answer is

$y = \frac{5}{4} x + 19$

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question the point is (-8,9) and slope 5/4

The equation of the line is

$y - 9 = \frac{5}{4} (x + 8) \\ y - 9 = \frac{5}{4} x + 10 \\ y = \frac{5}{4} x + 10 + 9$

We have the final answer as

$y = \frac{5}{4} x + 19$

Hope this helps you