Question

write the following equation in slope - intercept form and identify the slope and y - intercept. 3x - 4y = 10 the equation in slope - intercept form is y = . (simplify your answer. type in the form y = mx + b. use integers or fractions for any numbers in the exp the slope of the line is . (simplify your answer.) the y - intercept of the line is . (simplify your answer. type an ordered pair.)

Explanation:

Step1: Isolate -4y

Subtract 3x from both sides.
$-4y=-3x + 10$

Step2: Solve for y

Divide each term by -4.
$y=\frac{3}{4}x-\frac{10}{4}=\frac{3}{4}x - \frac{5}{2}$
The slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Answer:

The equation in slope - intercept form is $y=\frac{3}{4}x-\frac{5}{2}$.
The slope of the line is $\frac{3}{4}$.
The y - intercept of the line is $(0,-\frac{5}{2})$.