Question

Write an equation of the line below

Answer 1

Answer:

The equation of the line is:

$y = 4x + 3$

Step-by-step explanation:

We know that the slope-intercept of line equation is

$y = mx+b$

Where m is the slope and b is the y-intercept

Given the two points on a line

• (0, 3)

• (-2, -5)

Finding the slope between (0, 3) and (-2, -5)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-5\right)$

$m=\frac{-5-3}{-2-0}$

$m=4$

We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.

From the graph, it is clear:

at x = 0, y = 3

Thus, y-intercept = b = 3

Substituting m = 4 and b = 3 in the slope-intercept form of line equation

$y = mx+b$

$y = 4x + 3$

Therefore, the equation of the line is:

$y = 4x + 3$