Question

Write the slope of 7x+5y=35, give the slope of the line, give the y-intercept and graph the line

Answer 1

Solution:

Linear function.

To find the line slope and y-intercept, we need to bring the function to the form:

$$y=m×x+b.$$

Where m - slope of the line, b - y-intercept.

$$7×x+5×y=35; 5×y=-7×x+35;$$ $$y=(-7×x+35)÷5=-7÷5×(x+5)=-1.4×(x+5)=-1.4×x+7.$$

$$y=-1.4×x+7.$$

The slope of the line m = -1.4, y-intercept b = 7.

A linear function is constructed

using two points.

$$x=0;7×0+5×y=35;5×y=35;y=35÷5=7.$$

First point A(0,7).

$$y=0;7×x+5×0=35;7×x=35;x=35÷7=5.$$

Second point B(5,0).

Answer: m = -1.4; b = 7; A(0,7); B(5,0).

Graph of function.