Write the equation of the line that passes through (−3, -5) and (-2, 10) in slope-intercept form

y = 15x + 40

Step-by-step explanation:

(-3, -5) and (-2, 10)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(10 - (-5)) / (-2 - (-3))

Simplify the parentheses.

= (10 + 5) / (-2 + 3)

= 15 / 1

Simplify the fraction.

15/1

= 15

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 15x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-2, 10). Plug in the x and y values into the x and y of the standard equation.

10 = 15(-2) + b

To find b, multiply the slope and the input of x(-2)

10 = -30 + b

Now, add 30 to both sides to isolate b.

40 = b

Plug this into your standard equation.

y = 15x + 40

This is your equation.

Check this by plugging in the other point you have not checked yet (-3, -5).

y = 15x + 40

-5 = 15(-3) + 40

-5 = -45 + 40

-5 = -5

Your equation is correct.

Hope this helps!

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )