Mathematics: Can someone please help

I can’t seen the question so it is hard to answer...

Can someone please help - id10602570, froyg1234

keidyhernandezm

17.03.2022

The equation of the line is:

y = -3/4x + 1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given the points

(0, 1)(4, -2)

Determining the slope between (0, 1) and (4, -2)

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

$\left(x_1,\:y_1\right)=\left(0,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:-2\right)$

$m=\frac{-2-1}{4-0}$

Refine

$m=-\frac{3}{4}$

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

The point (0, 1) is given.

It means at x = 0, the vaule of y = 1

Thus, the y-intercept b = 1

now substituting m = -3/4 and b = 1 in the slope-intercept form of line equation

y = mx+b

y = -3/4x + 1

Therefore, the equation of the line is:

y = -3/4x + 1

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