What is the y-intercept of a line with a slope of 2/3 that passes through (-5,1)?

(0,13/3)

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

We know the slope is 2/3 and a point on the line is (-5,1)

y = 2/3x +b

Substitute the point into the equation

1 = 2/3 (-5) +b

1 = -10/3 +b

3/3 = -10/3 +b

Add 10/3 to each side

10/3 = b

The equation is

y = 2/3 x+13/3

The y intercept is

(0,13/3)

Step-by-step explanation:

Since we know the slope and a point, we can use the point-slope form.

Recall that the point-slope form is:

Let m be 2/3 and let (-5,1) be x₁ and y₁. Therefore:

Simplify:

Distribute:

Add 1 to both sides. The left cancels. 1 is the same as 3/3:

Simplify:

This is in slope-intercept form. The coefficient is the slope and the y-intercept is the constant. Thus, the y-intercept is 13/3.

answer: i guess 5 units?

step-by-step explanation:

the option best identifies the textual evidence that supports this conclusion is c.) when an argument is over, how many weighty reasons does a man recollect which his heat and violence made him utterly forget? in order to recognize textual evidence is to identify the topic sentence where the author states the main idea. textual evidence is what supports the topic sentence or main idea of a passage.