Question

find the equation of the line
a. in slope intercept form y=mx+b
b. in standard form ax+by=c

3.the slope is 3/4 and the y-intercept is (0,4)​
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Answer 1

a. y = mx + b. ... The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

b. The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

3. y = 3/4 x + 4

Step-by-step explanation:

The gradient is 3/4 and the coordinate you are given is the y intercept.

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Answer 2

Given data:

Slope (m) = 3/4.

y-intercept (b) = (0,4).

To Find:

Find the equation of a line.

Solution:

The equation of a line is y=mx+b.

The y-intercept is traveling in the straight line so, we can consider the value of b = 4.

The slope of the line is 3/4.

Equation of line is y = 3/4x+4 (or) 4y = 3x+4 (or) -3x+4y = 4.