Which equation of a line passing through the point (-2, 2) with a y-intercept of 1?

Mathematics

1 answer:

Sholpan [36]2 years ago

7 0

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have y-intercept b = 1. Therefore y = mx + 1.

The graph passing through the point (-2, 2). Substitute the coordinates to the equation:

2 = m(-2) + 1 subtract 1 from both sides

1 = -2m divide both sides by -2

m = -1/2

<h3>Answer: B. y = -1/2 x + 1</h3>

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4 0

2 years ago

Help? Please? I really suck at geometry

Maslowich

Answer:

x = 14

y = 4

Explanation:

Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.

So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.

So we can write the equation x = y + 10.

Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.

So, we can write the equation 4y = x + 2.

Now we have the equations $\left \{ {{x=y+10} \atop {4y=x+2}} \right.$ you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.