Question

Can anyone help me plz?

Answer 1

Answer:

$y = \frac{1}{4}x + 1$

Step-by-step 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 $\frac{y_2 - y_1}{x_2-x_1}$=>$\frac{2-1}{4-0}$=> 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:

$y = \frac{1}{4}x + 1$

Answer 2

Answer:

$y = \frac{1}{4}x + 1$

Step-by-step 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:

$y = mx + b \\ \\ y = \frac{1}{4}x + 1$