Question

Can anyone help me plz?

Answer 1

`y = (1)/(4)x + 1`

Explanation:

Slope intercept form allows one to write an equation for a line from only the y-intercept and the slope, so we need to identify those two things.

The slope is simply
`(y_2 - y_1)/(x_2-x_1)`=>
`(2-1)/(4-0)`=> 1/4

The slope intercept is the y value when x = 0, and since we have the point (0,1), the y-intercept must be 1

The equation is: y = mx + b where m is the slope and b is the intercept so the final equation is:

`y = (1)/(4)x + 1`

Answer 2

`y = (1)/(4)x + 1`

Explanation:

Line is passing through the points (0, 1) & (4, 2)

Slope of line = (2 - 1)/(4 - 0) = 1/4

y-intercept (b) = 1

Equation of line in slope-intercept form is given as:

`y = mx + b \\ \\ y = (1)/(4)x + 1`