If a line crosses the y-axis at (0, 1) and has a slope of `4/5`, what is the equation of the line? a. 4y − 5x = 5 b. y − 4x = 5 c. 5y + 4x = 5 d. 5y − 4x = 5

option (d) is correct.

if a line crosses the y-axis at (0, 1) and has a slope of , then equation  of line is 5y - 4x = 5.

Step-by-step explanation:

Given : if a line crosses the y-axis at (0, 1) and has a slope of .

We need to find the equation of line.

Equation of line is of the form y = mx + c, where m is the slope of line and c is the y- intercept. that is the point where line meets y- axis.

Given y intercept at (0, 1 ) ⇒ c = 1

Also, slope m =

Substitute it in equation,  we get ,

y = mx + c ⇒  

Solving , we get equation of line as ,

5y = 4x + 5 ⇒ 5y - 4x = 5

Thus, option (d) is correct.

if a line crosses the y-axis at (0, 1) and has a slope of , then equation  of line is 5y - 4x = 5.

Choice D is correct answer.

Step-by-step explanation:

From question statement, we observe that

Slope is given and  a point is given .

slope =  4/5   and point is (0,1)

y = mx+c is equation of line where m is slope and c is y-intercept.

y-intercept is a point where the value of x is zero.

hence, y-intercept = c = 1

Putting the given values in formula, we have

y = (4/5)x+1

y =( 4x+5) / 5

5y = 4x+5

Adding -4x to both sides of above equations, we have

5y-4x = 4x+5-4x

5y-4x = 5 is equation of line that crosses the y-axis at (0,1) and has a slope of 4/5.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

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step-by-step explanation: