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A system of equations consists of a line s of the equation y = x-5 and a line t that passes through the points (0, 2)

and (8,4). Answer the questions about line t to write the equation.
What is the slope of line t?
What is the y-intercept of line t?
What is the equation in slope-intercept form of line t?
PLEASE ANSWER QUICK

User Fatiherdem
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2 Answers

5 votes

Final answer:

The slope of line t is 1/4, the y-intercept is 2, and the equation in slope-intercept form is y = (1/4)x + 2.

Step-by-step explanation:

To find the slope of line t, we can use the formula:

Slope = (y2 - y1) / (x2 - x1)

Using the points (0, 2) and (8, 4), the slope is:

Slope = (4 - 2) / (8 - 0) = 2 / 8 = 1/4

So, the slope of line t is 1/4.

To find the y-intercept of line t, we can use the formula:

y = mx + b

Since the line passes through the point (0, 2), we can substitute the values into the equation and solve for b:

2 = (1/4)(0) + b

2 = b

So, the y-intercept of line t is 2.

The equation of line t in slope-intercept form is:

y = mx + b

Substituting the values we found:

y = (1/4)x + 2

So, the equation of line t is y = (1/4)x + 2.

User Damian Drygiel
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7.4k points
5 votes

Answer:

the slope is -0.75

the y intercept of line is t is 2

the equation in slope intercept from line t is y=-0.75x+2

Step-by-step explanation:

i got it right on edge

User Mathielo
by
7.2k points