Question

Which statement is true regarding the line y = -4x + 13? The line has a slope of -13. The line has a slope of 4. The line passes through the point (0, 13). The line passes through the point (0,-4)​

Answer 1

Answer:

1. False
2. False
3. False
4. False

Step-by-step explanation:

to understand this

you need to know about:

• linear equation
• PEMDAS

given:

y=-4x+13

justify:

if

1. The line has a slope of -13.
2. The line has a slope of 4.
3. The line passes through the point (0, 13).
4. The line passes through the point (0,-4)

let's justify:

the slope-intercept form of a linear equation is

• y=mx+b

where,m is slope and b is y-intercept

let's justify the first and second statement

1. the line has a slope of -13
2. The line has a slope of 4.

our given equation is

y=-4x+13

where -4 is our slope or m

therefore,

1 and 2 statements are False

let's justify the third and fourth statement

• The line passes through the point (0, 13)
• The line passes through the point (0,-4)

our given equation is

y=-4x+13

where,13 is our y-intercept which means the line passes y-intercept when x=0

therefore,

third and fourth statements are False

Answer 2

The statement which is true regarding the line y = -4x + 13 is; The line passes through the point, (0, 13)

The equation of a straight line in slope-intercept form is usually of the form; y = mx + c

where m = slope and c is the y intercept with coordinate (0, c)

• In essence, the slope of the equation of the line given, m = -4 and it's y-intercept is at point (0, 13).

The statement which is true is therefore; The line passes through the point, (0, 13)

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