Question

Please please help me out!!!!!!!!!

Answer 1

Answer:

y = $\frac{3}{4}$ x + $\frac{1}{4}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (5, 4) ← 2 points on the line

m = $\frac{4+2}{5+3}$ = $\frac{6}{8}$ = $\frac{3}{4}$, thus

y = $\frac{3}{4}$ x + c ← is the partial equation of the line

To find c substitute either of the 2 points into the partial equation

Using (5, 4), then

4 = $\frac{15}{4}$ + c ⇒ c = 4 - $\frac{15}{4}$ = $\frac{1}{4}$

y = $\frac{3}{4}$ x + $\frac{1}{4}$ ← equation of line

Answer 2

Answer:

y = 3/4x + 1/4.

Step-by-step explanation:

The upper dot on the line is the point (5, 4) and the lower one is the point (-3,-2) so the slope of the line is:

(4 - -2) / (5 - -3)

= 6/8

= 3/4.

Using the point slope form of a line with m = 3/4 and (x1,y1) = (5,4)

y - y1 = m(x - x1)

y - 4 = 3/4(x - 5)

y = 3/4x + 1/4